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120064065 = 3511283797
BaseRepresentation
bin1110010100000…
…00100001000001
322100220212221020
413022000201001
5221214022230
615525220053
72655346002
oct712004101
9270825836
10120064065
1161855a00
1234261629
131bb4a134
1411d351a9
15a819810
hex7280841

120064065 has 48 divisors (see below), whose sum is σ = 213966144. Its totient is φ = 57439360.

The previous prime is 120064037. The next prime is 120064073. The reversal of 120064065 is 560460021.

It is not a de Polignac number, because 120064065 - 29 = 120063553 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150247 + ... + 151043.

It is an arithmetic number, because the mean of its divisors is an integer number (4457628).

Almost surely, 2120064065 is an apocalyptic number.

120064065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120064065 is a deficient number, since it is larger than the sum of its proper divisors (93902079).

120064065 is a wasteful number, since it uses less digits than its factorization.

120064065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 120064065 is about 10957.3749137282. The cubic root of 120064065 is about 493.3301758482.

The spelling of 120064065 in words is "one hundred twenty million, sixty-four thousand, sixty-five".

Divisors: 1 3 5 11 15 33 55 83 121 165 249 363 415 605 797 913 1245 1815 2391 2739 3985 4565 8767 10043 11955 13695 26301 30129 43835 50215 66151 96437 131505 150645 198453 289311 330755 482185 727661 992265 1446555 2182983 3638305 8004271 10914915 24012813 40021355 120064065