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1102285920 = 253519711657
BaseRepresentation
bin100000110110011…
…1000110001100000
32211211010221000110
41001230320301200
54224141122140
6301213451320
736213163401
oct10154706140
92754127013
101102285920
115162367aa
122691a0b40
131474a12b8
14a65759a8
1566b88380
hex41b38c60

1102285920 has 96 divisors (see below), whose sum is σ = 3490125408. Its totient is φ = 292425728.

The previous prime is 1102285909. The next prime is 1102285937. The reversal of 1102285920 is 295822011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88732 + ... + 100388.

It is an arithmetic number, because the mean of its divisors is an integer number (36355473).

Almost surely, 21102285920 is an apocalyptic number.

1102285920 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 1102285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745062704).

1102285920 is an abundant number, since it is smaller than the sum of its proper divisors (2387839488).

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

1102285920 is a wasteful number, since it uses less digits than its factorization.

1102285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11872 (or 11864 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1102285920 is about 33200.6915590624. The cubic root of 1102285920 is about 1032.9946842648.

The spelling of 1102285920 in words is "one billion, one hundred two million, two hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 6304 7880 9456 11657 11820 15760 18912 23314 23640 31520 34971 46628 47280 58285 69942 93256 94560 116570 139884 174855 186512 233140 279768 349710 373024 466280 559536 699420 932560 1119072 1398840 1865120 2296429 2797680 4592858 5595360 6889287 9185716 11482145 13778574 18371432 22964290 27557148 34446435 36742864 45928580 55114296 68892870 73485728 91857160 110228592 137785740 183714320 220457184 275571480 367428640 551142960 1102285920