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120173664 = 2531396293
BaseRepresentation
bin1110010100110…
…11010001100000
322101010110021110
413022123101200
5221231024124
615531423320
72656313352
oct712332140
9271113243
10120173664
1161920286
12342b4b40
131bb87ca0
1411d630d2
15a83c029
hex729b460

120173664 has 48 divisors (see below), whose sum is σ = 339725232. Its totient is φ = 36976128.

The previous prime is 120173659. The next prime is 120173687. The reversal of 120173664 is 466371021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46899 + ... + 49394.

It is an arithmetic number, because the mean of its divisors is an integer number (7077609).

Almost surely, 2120173664 is an apocalyptic number.

It is an amenable number.

120173664 is an abundant number, since it is smaller than the sum of its proper divisors (219551568).

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

120173664 is a wasteful number, since it uses less digits than its factorization.

120173664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96319 (or 96311 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 120173664 is about 10962.3749251702. The cubic root of 120173664 is about 493.4802403169.

The spelling of 120173664 in words is "one hundred twenty million, one hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 96293 192586 288879 385172 577758 770344 1155516 1251809 1540688 2311032 2503618 3081376 3755427 4622064 5007236 7510854 9244128 10014472 15021708 20028944 30043416 40057888 60086832 120173664