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120754968 = 23323283773
BaseRepresentation
bin1110011001010…
…01001100011000
322102012222200020
413030221030120
5221403124333
615552110440
72664254205
oct714511430
9272188606
10120754968
1162187aa4
1234535420
131c02c759
1412074cac
15a9043b3
hex7329318

120754968 has 64 divisors (see below), whose sum is σ = 316535040. Its totient is φ = 38315904.

The previous prime is 120754967. The next prime is 120754981. The reversal of 120754968 is 869457021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120754967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155830 + ... + 156602.

It is an arithmetic number, because the mean of its divisors is an integer number (4945860).

Almost surely, 2120754968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120754968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158267520).

120754968 is an abundant number, since it is smaller than the sum of its proper divisors (195780072).

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

120754968 is a wasteful number, since it uses less digits than its factorization.

120754968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 120754968 is about 10988.8565374201. The cubic root of 120754968 is about 494.2746482617.

The spelling of 120754968 in words is "one hundred twenty million, seven hundred fifty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 283 552 566 773 849 1132 1546 1698 2264 2319 3092 3396 4638 6184 6509 6792 9276 13018 17779 18552 19527 26036 35558 39054 52072 53337 71116 78108 106674 142232 156216 213348 218759 426696 437518 656277 875036 1312554 1750072 2625108 5031457 5250216 10062914 15094371 20125828 30188742 40251656 60377484 120754968