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68002596 = 223219372687
BaseRepresentation
bin1000000110110…
…10001100100100
311201221220000200
410003122030210
5114402040341
610425310500
71454004204
oct403321444
9151856020
1068002596
11354273a2
121a935430
131111c62c
149062404
155e83db6
hex40da324

68002596 has 72 divisors (see below), whose sum is σ = 185902080. Its totient is φ = 20886336.

The previous prime is 68002591. The next prime is 68002603. The reversal of 68002596 is 69520086.

68002596 is a `hidden beast` number, since 68 + 0 + 0 + 2 + 596 = 666.

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 68002596.

It is not an unprimeable number, because it can be changed into a prime (68002591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23965 + ... + 26651.

Almost surely, 268002596 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 68002596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92951040).

68002596 is an abundant number, since it is smaller than the sum of its proper divisors (117899484).

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

68002596 is a wasteful number, since it uses less digits than its factorization.

68002596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68002596 is about 8246.3686553537. The cubic root of 68002596 is about 408.1707042318.

The spelling of 68002596 in words is "sixty-eight million, two thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2687 2812 4218 5374 6327 8061 8436 10748 12654 16122 24183 25308 32244 48366 51053 96732 99419 102106 153159 198838 204212 298257 306318 397676 459477 596514 612636 894771 918954 1193028 1789542 1837908 1888961 3579084 3777922 5666883 7555844 11333766 17000649 22667532 34001298 68002596