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1134021120 = 2935149991
BaseRepresentation
bin100001110010111…
…1100101000000000
32221000212020112020
41003211330220000
54310302133440
6304310001440
740050010011
oct10345745000
92830766466
101134021120
11532141941
12277946280
13150c3301b
14aa877008
15698563d0
hex4397ca00

1134021120 has 160 divisors (see below), whose sum is σ = 3653337600. Its totient is φ = 300072960.

The previous prime is 1134021079. The next prime is 1134021121. The reversal of 1134021120 is 211204311.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1134021120.

It is not an unprimeable number, because it can be changed into a prime (1134021121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143825 + ... + 1144815.

It is an arithmetic number, because the mean of its divisors is an integer number (22833360).

Almost surely, 21134021120 is an apocalyptic number.

1134021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826668800).

1134021120 is an abundant number, since it is smaller than the sum of its proper divisors (2519316480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1134021120 is an equidigital number, since it uses as much as digits as its factorization.

1134021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1134021120 is about 33675.2300660292. The cubic root of 1134021120 is about 1042.8144672955.

Adding to 1134021120 its reverse (211204311), we get a palindrome (1345225431).

The spelling of 1134021120 in words is "one billion, one hundred thirty-four million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 149 160 192 240 256 298 320 384 447 480 512 596 640 745 768 894 960 991 1192 1280 1490 1536 1788 1920 1982 2235 2384 2560 2973 2980 3576 3840 3964 4470 4768 4955 5946 5960 7152 7680 7928 8940 9536 9910 11892 11920 14304 14865 15856 17880 19072 19820 23784 23840 28608 29730 31712 35760 38144 39640 47568 47680 57216 59460 63424 71520 76288 79280 95136 95360 114432 118920 126848 143040 147659 158560 190272 190720 228864 237840 253696 286080 295318 317120 380544 381440 442977 475680 507392 572160 590636 634240 738295 761088 885954 951360 1144320 1181272 1268480 1476590 1522176 1771908 1902720 2214885 2362544 2536960 2953180 3543816 3805440 4429770 4725088 5906360 7087632 7610880 8859540 9450176 11812720 14175264 17719080 18900352 23625440 28350528 35438160 37800704 47250880 56701056 70876320 75601408 94501760 113402112 141752640 189003520 226804224 283505280 378007040 567010560 1134021120