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120989292 = 223232831549
BaseRepresentation
bin1110011011000…
…10011001101100
322102122220002220
413031202121230
5221433124132
620001115340
72666251314
oct715423154
9272586086
10120989292
1162328056
1234628b50
131c0b22c8
14120d6444
15a94da2c
hex736266c

120989292 has 48 divisors (see below), whose sum is σ = 295814400. Its totient is φ = 38415168.

The previous prime is 120989201. The next prime is 120989303. The reversal of 120989292 is 292989021.

It is a happy number.

It is a super-2 number, since 2×1209892922 = 29276817557322528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 77334 + ... + 78882.

It is an arithmetic number, because the mean of its divisors is an integer number (6162800).

Almost surely, 2120989292 is an apocalyptic number.

120989292 is a gapful number since it is divisible by the number (12) 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 120989292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147907200).

120989292 is an abundant number, since it is smaller than the sum of its proper divisors (174825108).

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

120989292 is a wasteful number, since it uses less digits than its factorization.

120989292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 120989292 is about 10999.5132619585. The cubic root of 120989292 is about 494.5941536178.

The spelling of 120989292 in words is "one hundred twenty million, nine hundred eighty-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 283 566 849 1132 1549 1698 3098 3396 4647 6196 6509 9294 13018 18588 19527 26036 35627 39054 71254 78108 106881 142508 213762 427524 438367 876734 1315101 1753468 2630202 5260404 10082441 20164882 30247323 40329764 60494646 120989292