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65730096 = 2433712143
BaseRepresentation
bin1111101010111…
…1011000110000
311120200102202000
43322233120300
5113311330341
610304454000
71425460635
oct372573060
9146612660
1065730096
1134114aa3
121a01a300
1310805163
148a3018c
155b858b6
hex3eaf630

65730096 has 80 divisors (see below), whose sum is σ = 191416320. Its totient is φ = 21591360.

The previous prime is 65730083. The next prime is 65730103. The reversal of 65730096 is 69003756.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65730096.

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, 29601 + ... + 31743.

It is an arithmetic number, because the mean of its divisors is an integer number (2392704).

Almost surely, 265730096 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 65730096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95708160).

65730096 is an abundant number, since it is smaller than the sum of its proper divisors (125686224).

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

65730096 is a wasteful number, since it uses less digits than its factorization.

65730096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 65730096 is about 8107.4099439957. The cubic root of 65730096 is about 403.5723671698.

The spelling of 65730096 in words is "sixty-five million, seven hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1704 1917 2143 2556 3408 3834 4286 5112 6429 7668 8572 10224 12858 15336 17144 19287 25716 30672 34288 38574 51432 57861 77148 102864 115722 152153 154296 231444 304306 308592 456459 462888 608612 912918 925776 1217224 1369377 1825836 2434448 2738754 3651672 4108131 5477508 7303344 8216262 10955016 16432524 21910032 32865048 65730096