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120888852 = 22377012053
BaseRepresentation
bin1110011010010…
…01111000010100
322102110210022220
413031021320110
5221421420402
615555022340
72665352430
oct715117024
9272423286
10120888852
1162269647
123459a9b0
131c078686
14120ab9c0
15a92ddbc
hex7349e14

120888852 has 48 divisors (see below), whose sum is σ = 322987392. Its totient is φ = 34473600.

The previous prime is 120888847. The next prime is 120888857. The reversal of 120888852 is 258888021.

It is an interprime number because it is at equal distance from previous prime (120888847) and next prime (120888857).

It is a super-2 number, since 2×1208888522 = 29228229075755808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120888857) 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, 57858 + ... + 59910.

It is an arithmetic number, because the mean of its divisors is an integer number (6728904).

Almost surely, 2120888852 is an apocalyptic number.

120888852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120888852 is an abundant number, since it is smaller than the sum of its proper divisors (202098540).

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

120888852 is a wasteful number, since it uses less digits than its factorization.

120888852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 120888852 is about 10994.9466574422. The cubic root of 120888852 is about 494.4572522748.

The spelling of 120888852 in words is "one hundred twenty million, eight hundred eighty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 701 1402 2053 2103 2804 4106 4206 4907 6159 8212 8412 9814 12318 14371 14721 19628 24636 28742 29442 43113 57484 58884 86226 172452 1439153 2878306 4317459 5756612 8634918 10074071 17269836 20148142 30222213 40296284 60444426 120888852