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120399272 = 23721013041
BaseRepresentation
bin1110010110100…
…10010110101000
322101112220202022
413023102112220
5221310234042
615540324012
72661243200
oct713222650
9271486668
10120399272
1161a64834
12343a3608
131bc36896
1411dc1400
15a883cd2
hex72d25a8

120399272 has 48 divisors (see below), whose sum is σ = 265292820. Its totient is φ = 51072000.

The previous prime is 120399263. The next prime is 120399281. The reversal of 120399272 is 272993021.

It is an interprime number because it is at equal distance from previous prime (120399263) and next prime (120399281).

It can be written as a sum of positive squares in 2 ways, for example, as 80532676 + 39866596 = 8974^2 + 6314^2 .

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 11 ways as a sum of consecutive naturals, for example, 38072 + ... + 41112.

Almost surely, 2120399272 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 120399272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132646410).

120399272 is an abundant number, since it is smaller than the sum of its proper divisors (144893548).

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

120399272 is a wasteful number, since it uses less digits than its factorization.

120399272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 120399272 is about 10972.6602061670. The cubic root of 120399272 is about 493.7888589403.

The spelling of 120399272 in words is "one hundred twenty million, three hundred ninety-nine thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 392 404 707 808 1414 2828 3041 4949 5656 6082 9898 12164 19796 21287 24328 39592 42574 85148 149009 170296 298018 307141 596036 614282 1192072 1228564 2149987 2457128 4299974 8599948 15049909 17199896 30099818 60199636 120399272