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1120398080 = 28519232003
BaseRepresentation
bin100001011000111…
…1110101100000000
32220002020010020012
41002301332230000
54243310214310
6303102004052
736523140464
oct10261765400
92802203205
101120398080
1152548772a
12273276628
1314b173359
14a8b2c4a4
1568564c05
hex42c7eb00

1120398080 has 144 divisors (see below), whose sum is σ = 2949246720. Its totient is φ = 405909504.

The previous prime is 1120397983. The next prime is 1120398089. The reversal of 1120398080 is 808930211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120398089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558359 + ... + 560361.

It is an arithmetic number, because the mean of its divisors is an integer number (20480880).

Almost surely, 21120398080 is an apocalyptic number.

1120398080 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 1120398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474623360).

1120398080 is an abundant number, since it is smaller than the sum of its proper divisors (1828848640).

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

1120398080 is a wasteful number, since it uses less digits than its factorization.

1120398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 1120398080 is about 33472.3479905429. The cubic root of 1120398080 is about 1038.6218431801.

The spelling of 1120398080 in words is "one billion, one hundred twenty million, three hundred ninety-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 64 76 80 92 95 115 128 152 160 184 190 230 256 304 320 368 380 437 460 608 640 736 760 874 920 1216 1280 1472 1520 1748 1840 2003 2185 2432 2944 3040 3496 3680 4006 4370 4864 5888 6080 6992 7360 8012 8740 10015 12160 13984 14720 16024 17480 20030 24320 27968 29440 32048 34960 38057 40060 46069 55936 64096 69920 76114 80120 92138 111872 128192 139840 152228 160240 184276 190285 230345 256384 279680 304456 320480 368552 380570 460690 512768 559360 608912 640960 737104 761140 875311 921380 1217824 1281920 1474208 1522280 1750622 1842760 2435648 2563840 2948416 3044560 3501244 3685520 4376555 4871296 5896832 6089120 7002488 7371040 8753110 9742592 11793664 12178240 14004976 14742080 17506220 24356480 28009952 29484160 35012440 48712960 56019904 58968320 70024880 112039808 140049760 224079616 280099520 560199040 1120398080