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65013696 = 26321131331
BaseRepresentation
bin1111100000000…
…0011111000000
311112100001000200
43320000133000
5113120414241
610241245200
71416415206
oct370003700
9145301020
1065013696
1133775830
1219933800
1310614057
1488c5076
155a934b6
hex3e007c0

65013696 has 168 divisors, whose sum is σ = 210482688. Its totient is φ = 19008000.

The previous prime is 65013673. The next prime is 65013701. The reversal of 65013696 is 69631056.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 65013696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196251 + ... + 196581.

Almost surely, 265013696 is an apocalyptic number.

65013696 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105241344).

65013696 is an abundant number, since it is smaller than the sum of its proper divisors (145468992).

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

65013696 is a wasteful number, since it uses less digits than its factorization.

65013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 65013696 is about 8063.1070934225. The cubic root of 65013696 is about 402.1008138039.

The spelling of 65013696 in words is "sixty-five million, thirteen thousand, six hundred ninety-six".