Search a number
-
+
120884160 = 2635125921
BaseRepresentation
bin1110011010010…
…00101111000000
322102110112220010
413031020233000
5221421243120
615554544520
72665332645
oct715105700
9272415803
10120884160
1162266071
1234598140
131c0764b7
14120a9dcc
15a92c7e0
hex7348bc0

120884160 has 56 divisors (see below), whose sum is σ = 383810256. Its totient is φ = 32235520.

The previous prime is 120884129. The next prime is 120884167. The reversal of 120884160 is 61488021.

It is a super-2 number, since 2×1208841602 = 29225960277811200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120884167) 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, 62001 + ... + 63920.

Almost surely, 2120884160 is an apocalyptic number.

120884160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120884160 is an abundant number, since it is smaller than the sum of its proper divisors (262926096).

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

120884160 is a wasteful number, since it uses less digits than its factorization.

120884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125941 (or 125931 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 120884160 is about 10994.7332846231. The cubic root of 120884160 is about 494.4508551493.

The spelling of 120884160 in words is "one hundred twenty million, eight hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 125921 251842 377763 503684 629605 755526 1007368 1259210 1511052 1888815 2014736 2518420 3022104 3777630 4029472 5036840 6044208 7555260 8058944 10073680 12088416 15110520 20147360 24176832 30221040 40294720 60442080 120884160