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96200064 = 2732113739
BaseRepresentation
bin1011011101111…
…10010110000000
320201000110200100
411232332112000
5144111400224
613313522400
72245454442
oct556762600
9221013610
1096200064
114a336594
1228273400
1316c1301c
14cac2492
1586a3ac9
hex5bbe580

96200064 has 96 divisors (see below), whose sum is σ = 279653400. Its totient is φ = 31739904.

The previous prime is 96200051. The next prime is 96200077. The reversal of 96200064 is 46000269.

It is an interprime number because it is at equal distance from previous prime (96200051) and next prime (96200077).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129807 + ... + 130545.

Almost surely, 296200064 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 96200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139826700).

96200064 is an abundant number, since it is smaller than the sum of its proper divisors (183453336).

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

96200064 is a wasteful number, since it uses less digits than its factorization.

96200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 96200064 is about 9808.1631307804. The cubic root of 96200064 is about 458.2035542495.

The spelling of 96200064 in words is "ninety-six million, two hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 288 339 384 452 576 678 739 904 1017 1152 1356 1478 1808 2034 2217 2712 2956 3616 4068 4434 5424 5912 6651 7232 8136 8868 10848 11824 13302 14464 16272 17736 21696 23648 26604 32544 35472 43392 47296 53208 65088 70944 83507 94592 106416 130176 141888 167014 212832 250521 283776 334028 425664 501042 668056 751563 851328 1002084 1336112 1503126 2004168 2672224 3006252 4008336 5344448 6012504 8016672 10688896 12025008 16033344 24050016 32066688 48100032 96200064