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120885616 = 2431251971
BaseRepresentation
bin1110011010010…
…01000101110000
322102110121220001
413031021011300
5221421314431
615554555344
72665340125
oct715110560
9272417801
10120885616
1162267175
1234598b54
131c077067
14120aa74c
15a92ce61
hex7349170

120885616 has 40 divisors (see below), whose sum is σ = 242984448. Its totient is φ = 58200000.

The previous prime is 120885593. The next prime is 120885629. The reversal of 120885616 is 616588021.

It is a super-2 number, since 2×1208856162 = 29226664311398912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its 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, 124011 + ... + 124981.

Almost surely, 2120885616 is an apocalyptic number.

120885616 is a gapful number since it is divisible by the number (16) 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 120885616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121492224).

120885616 is an abundant number, since it is smaller than the sum of its proper divisors (122098832).

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

120885616 is a wasteful number, since it uses less digits than its factorization.

120885616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 120885616 is about 10994.7994979445. The cubic root of 120885616 is about 494.4528402938.

The spelling of 120885616 in words is "one hundred twenty million, eight hundred eighty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 251 496 502 971 1004 1942 2008 3884 4016 7768 7781 15536 15562 30101 31124 60202 62248 120404 124496 240808 243721 481616 487442 974884 1949768 3899536 7555351 15110702 30221404 60442808 120885616