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120055932 = 22343111953
BaseRepresentation
bin1110010011111…
…10100001111100
322100220110210000
413021332201330
5221213242212
615525114300
72655313203
oct711764174
9270813700
10120055932
116184a887
1234258990
131bb46519
1411d3223a
15a8171dc
hex727e87c

120055932 has 60 divisors (see below), whose sum is σ = 324001216. Its totient is φ = 38724480.

The previous prime is 120055909. The next prime is 120055933. The reversal of 120055932 is 239550021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120055896 and 120055905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120055933) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4068 + ... + 16020.

Almost surely, 2120055932 is an apocalyptic number.

120055932 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 120055932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162000608).

120055932 is an abundant number, since it is smaller than the sum of its proper divisors (203945284).

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

120055932 is a wasteful number, since it uses less digits than its factorization.

120055932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000 (or 11989 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 120055932 is about 10957.0037875324. The cubic root of 120055932 is about 493.3190363928.

The spelling of 120055932 in words is "one hundred twenty million, fifty-five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 5022 10044 11953 23906 35859 47812 71718 107577 143436 215154 322731 370543 430308 645462 741086 968193 1111629 1290924 1482172 1936386 2223258 3334887 3872772 4446516 6669774 10004661 13339548 20009322 30013983 40018644 60027966 120055932