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120873712 = 2431379643
BaseRepresentation
bin1110011010001…
…10001011110000
322102110000120011
413031012023300
5221420424322
615554424304
72665260331
oct715061360
9272400504
10120873712
1162259233
1234592094
131c07180b
14120a6288
15a929677
hex73462f0

120873712 has 40 divisors (see below), whose sum is σ = 242762240. Its totient is φ = 58242240.

The previous prime is 120873703. The next prime is 120873733. The reversal of 120873712 is 217378021.

It is a super-2 number, since 2×1208737122 = 29220908505317888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187663 + ... + 188305.

It is an arithmetic number, because the mean of its divisors is an integer number (6069056).

Almost surely, 2120873712 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 120873712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121381120).

120873712 is an abundant number, since it is smaller than the sum of its proper divisors (121888528).

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

120873712 is a wasteful number, since it uses less digits than its factorization.

120873712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 120873712 is about 10994.2581377736. The cubic root of 120873712 is about 494.4366096343.

The spelling of 120873712 in words is "one hundred twenty million, eight hundred seventy-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 248 379 496 643 758 1286 1516 2572 3032 5144 6064 10288 11749 19933 23498 39866 46996 79732 93992 159464 187984 243697 318928 487394 974788 1949576 3899152 7554607 15109214 30218428 60436856 120873712