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16364064 = 2531737271
BaseRepresentation
bin111110011011…
…001000100000
31010210101021110
4332123020200
513142122224
61342423320
7256043433
oct76331040
933711243
1016364064
119267622
125591b40
13350c4a2
14225d81a
151683929
hexf9b220

16364064 has 96 divisors (see below), whose sum is σ = 46884096. Its totient is φ = 4976640.

The previous prime is 16364057. The next prime is 16364071. The reversal of 16364064 is 46046361.

It is an interprime number because it is at equal distance from previous prime (16364057) and next prime (16364071).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60249 + ... + 60519.

It is an arithmetic number, because the mean of its divisors is an integer number (488376).

Almost surely, 216364064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442048).

16364064 is an abundant number, since it is smaller than the sum of its proper divisors (30520032).

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

16364064 is a wasteful number, since it uses less digits than its factorization.

16364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 16364064 is about 4045.2520317033. The cubic root of 16364064 is about 253.8811107895.

The spelling of 16364064 in words is "sixteen million, three hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 68 74 96 102 111 136 148 204 222 271 272 296 408 444 542 544 592 629 813 816 888 1084 1184 1258 1626 1632 1776 1887 2168 2516 3252 3552 3774 4336 4607 5032 6504 7548 8672 9214 10027 10064 13008 13821 15096 18428 20054 20128 26016 27642 30081 30192 36856 40108 55284 60162 60384 73712 80216 110568 120324 147424 160432 170459 221136 240648 320864 340918 442272 481296 511377 681836 962592 1022754 1363672 2045508 2727344 4091016 5454688 8182032 16364064