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120032968 = 23112124001
BaseRepresentation
bin1110010011110…
…00111011001000
322100212022021111
413021320323020
5221212023333
615524420104
72655156226
oct711707310
9270768244
10120032968
1161834600
1234247634
131bb38c33
1411d27b16
15a8104cd
hex7278ec8

120032968 has 24 divisors (see below), whose sum is σ = 247383990. Its totient is φ = 54560000.

The previous prime is 120032959. The next prime is 120032977. The reversal of 120032968 is 869230021.

It is an interprime number because it is at equal distance from previous prime (120032959) and next prime (120032977).

It can be written as a sum of positive squares in only one way, i.e., 111978724 + 8054244 = 10582^2 + 2838^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61033 + ... + 62968.

Almost surely, 2120032968 is an apocalyptic number.

It is an amenable number.

120032968 is an abundant number, since it is smaller than the sum of its proper divisors (127351022).

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

120032968 is a wasteful number, since it uses less digits than its factorization.

120032968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124029 (or 124014 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 120032968 is about 10955.9558232041. The cubic root of 120032968 is about 493.2875807744.

Adding to 120032968 its reverse (869230021), we get a palindrome (989262989).

The spelling of 120032968 in words is "one hundred twenty million, thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 124001 248002 496004 992008 1364011 2728022 5456044 10912088 15004121 30008242 60016484 120032968