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120063132 = 223272292347
BaseRepresentation
bin1110010100000…
…00010010011100
322100220211122200
413022000102130
5221214010012
615525211500
72655343200
oct712002234
9270824580
10120063132
1161855232
1234260b90
131bb49897
1411d34b00
15a8193dc
hex728049c

120063132 has 108 divisors (see below), whose sum is σ = 365372280. Its totient is φ = 33106752.

The previous prime is 120063127. The next prime is 120063137. The reversal of 120063132 is 231360021.

120063132 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 631 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (120063127) and next prime (120063137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120063137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49983 + ... + 52329.

Almost surely, 2120063132 is an apocalyptic number.

120063132 is a gapful number since it is divisible by the number (12) 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 120063132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182686140).

120063132 is an abundant number, since it is smaller than the sum of its proper divisors (245309148).

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

120063132 is a wasteful number, since it uses less digits than its factorization.

120063132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 120063132 is about 10957.3323395797. The cubic root of 120063132 is about 493.3288979798.

The spelling of 120063132 in words is "one hundred twenty million, sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2347 2436 2842 3654 4263 4694 5684 7041 7308 8526 9388 12789 14082 16429 17052 21123 25578 28164 32858 42246 49287 51156 65716 68063 84492 98574 115003 136126 147861 197148 204189 230006 272252 295722 345009 408378 460012 476441 591444 612567 690018 816756 952882 1035027 1225134 1380036 1429323 1905764 2070054 2450268 2858646 3335087 4140108 4287969 5717292 6670174 8575938 10005261 13340348 17151876 20010522 30015783 40021044 60031566 120063132