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818985920 = 26512012131
BaseRepresentation
bin110000110100001…
…011101111000000
32010002001210110212
4300310023233000
53134130022140
6213133413252
726203160024
oct6064135700
92102053425
10818985920
11390329275
121aa33a228
1310089c86c
147aaac384
154bd77765
hex30d0bbc0

818985920 has 56 divisors (see below), whose sum is σ = 1952749968. Its totient is φ = 327168000.

The previous prime is 818985877. The next prime is 818985929. The reversal of 818985920 is 29589818.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818985929) 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 7 ways as a sum of consecutive naturals, for example, 383255 + ... + 385385.

Almost surely, 2818985920 is an apocalyptic number.

818985920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

818985920 is an abundant number, since it is smaller than the sum of its proper divisors (1133764048).

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

818985920 is a wasteful number, since it uses less digits than its factorization.

818985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 50.

The square root of 818985920 is about 28617.9300439427. The cubic root of 818985920 is about 935.6041621326.

The spelling of 818985920 in words is "eight hundred eighteen million, nine hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1201 2131 2402 4262 4804 6005 8524 9608 10655 12010 17048 19216 21310 24020 34096 38432 42620 48040 68192 76864 85240 96080 136384 170480 192160 340960 384320 681920 2559331 5118662 10237324 12796655 20474648 25593310 40949296 51186620 81898592 102373240 163797184 204746480 409492960 818985920