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120056172 = 223294371113
BaseRepresentation
bin1110010011111…
…10100101101100
322100220111002220
413021332211230
5221213244142
615525115340
72655313665
oct711764554
9270814086
10120056172
116184aa85
1234258b50
131bb46672
1411d3236c
15a8172ec
hex727e96c

120056172 has 96 divisors (see below), whose sum is σ = 303367680. Its totient is φ = 36879360.

The previous prime is 120056141. The next prime is 120056203. The reversal of 120056172 is 271650021.

It is an interprime number because it is at equal distance from previous prime (120056141) and next prime (120056203).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1062388 + ... + 1062500.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 2120056172 is an apocalyptic number.

120056172 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 120056172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

120056172 is an abundant number, since it is smaller than the sum of its proper divisors (183311508).

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

120056172 is a wasteful number, since it uses less digits than its factorization.

120056172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 120056172 is about 10957.0147394261. The cubic root of 120056172 is about 493.3193651187.

The spelling of 120056172 in words is "one hundred twenty million, fifty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 43 58 71 86 87 113 116 129 142 172 174 213 226 258 284 339 348 426 452 516 678 852 1247 1356 2059 2494 3053 3277 3741 4118 4859 4988 6106 6177 6554 7482 8023 8236 9159 9718 9831 12212 12354 13108 14577 14964 16046 18318 19436 19662 24069 24708 29154 32092 36636 39324 48138 58308 88537 96276 140911 177074 232667 265611 281822 344989 354148 422733 465334 531222 563644 689978 698001 845466 930668 1034967 1062444 1379956 1396002 1690932 2069934 2792004 4139868 10004681 20009362 30014043 40018724 60028086 120056172