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120531664 = 24113312069
BaseRepresentation
bin1110010111100…
…10101011010000
322101210122100201
413023302223100
5221324003124
615543224544
72662334161
oct713625320
9271718321
10120531664
1162045250
1234448154
131bc81c16
1412017768
15a8ad144
hex72f2ad0

120531664 has 40 divisors (see below), whose sum is σ = 255653280. Its totient is φ = 54595200.

The previous prime is 120531647. The next prime is 120531731. The reversal of 120531664 is 466135021.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57222 + ... + 59290.

It is an arithmetic number, because the mean of its divisors is an integer number (6391332).

Almost surely, 2120531664 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 120531664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127826640).

120531664 is an abundant number, since it is smaller than the sum of its proper divisors (135121616).

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

120531664 is a wasteful number, since it uses less digits than its factorization.

120531664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 120531664 is about 10978.6913609956. The cubic root of 120531664 is about 493.9697840304.

Adding to 120531664 its reverse (466135021), we get a palindrome (586666685).

The spelling of 120531664 in words is "one hundred twenty million, five hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 331 662 1324 2069 2648 3641 4138 5296 7282 8276 14564 16552 22759 29128 33104 45518 58256 91036 182072 364144 684839 1369678 2739356 5478712 7533229 10957424 15066458 30132916 60265832 120531664