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120332992 = 2613612371
BaseRepresentation
bin1110010110000…
…10001011000000
322101102112211111
413023002023000
5221301123432
615535053104
72660546023
oct713021300
9271375744
10120332992
1161a19a5a
1234371194
131bc12670
1411da51ba
15a86e347
hex72c22c0

120332992 has 56 divisors (see below), whose sum is σ = 261479792. Its totient is φ = 54604800.

The previous prime is 120332983. The next prime is 120332999. The reversal of 120332992 is 299233021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120332999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49567 + ... + 51937.

It is an arithmetic number, because the mean of its divisors is an integer number (4669282).

Almost surely, 2120332992 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 120332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130739896).

120332992 is an abundant number, since it is smaller than the sum of its proper divisors (141146800).

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

120332992 is a wasteful number, since it uses less digits than its factorization.

120332992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 120332992 is about 10969.6395565214. The cubic root of 120332992 is about 493.6982317780.

The spelling of 120332992 in words is "one hundred twenty million, three hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 208 244 416 488 793 832 976 1586 1952 2371 3172 3904 4742 6344 9484 12688 18968 25376 30823 37936 50752 61646 75872 123292 144631 151744 246584 289262 493168 578524 986336 1157048 1880203 1972672 2314096 3760406 4628192 7520812 9256384 15041624 30083248 60166496 120332992