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120948384 = 2532714649
BaseRepresentation
bin1110011010110…
…00011010100000
322102120210222210
413031120122200
5221430322014
620000202120
72666021124
oct715303240
9272523883
10120948384
11622aa347
1234609340
131c0997bb
14120c5584
15a941859
hex73586a0

120948384 has 48 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 40158720.

The previous prime is 120948361. The next prime is 120948397. The reversal of 120948384 is 483849021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1209483842 = 29257023184422912, which contains 22 as substring.

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, 23692 + ... + 28340.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2120948384 is an apocalyptic number.

It is an amenable number.

120948384 is an abundant number, since it is smaller than the sum of its proper divisors (197781216).

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

120948384 is a wasteful number, since it uses less digits than its factorization.

120948384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 120948384 is about 10997.6535679207. The cubic root of 120948384 is about 494.5384045013.

The spelling of 120948384 in words is "one hundred twenty million, nine hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 1084 1626 2168 3252 4336 4649 6504 8672 9298 13008 13947 18596 26016 27894 37192 55788 74384 111576 148768 223152 446304 1259879 2519758 3779637 5039516 7559274 10079032 15118548 20158064 30237096 40316128 60474192 120948384