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16200864 = 2533171103
BaseRepresentation
bin111101110011…
…010010100000
31010111002102000
4331303102200
513121411424
61335124000
7254463561
oct75632240
933432360
1016200864
119165a49
125513600
133483114
14221a168
1516503c9
hexf734a0

16200864 has 96 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 5078016.

The previous prime is 16200841. The next prime is 16200871. The reversal of 16200864 is 46800261.

16200864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14137 + ... + 15239.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 216200864 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 16200864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

16200864 is an abundant number, since it is smaller than the sum of its proper divisors (33876576).

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

16200864 is a wasteful number, since it uses less digits than its factorization.

16200864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16200864 is about 4025.0296893315. The cubic root of 16200864 is about 253.0342978181.

The spelling of 16200864 in words is "sixteen million, two hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1103 1224 1632 1836 2206 2448 3309 3672 4412 4896 6618 7344 8824 9927 13236 14688 17648 18751 19854 26472 29781 35296 37502 39708 52944 56253 59562 75004 79416 105888 112506 119124 150008 158832 168759 225012 238248 300016 317664 337518 450024 476496 506277 600032 675036 900048 952992 1012554 1350072 1800096 2025108 2700144 4050216 5400288 8100432 16200864