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65420736 = 263379209
BaseRepresentation
bin1111100110001…
…1110111000000
311120002201101020
43321203313000
5113221430421
610254105440
71423032003
oct371436700
9146081336
1065420736
1133a23627
1219aab280
13107273c4
14898d53a
155b23dc6
hex3e63dc0

65420736 has 56 divisors (see below), whose sum is σ = 177789840. Its totient is φ = 21215232.

The previous prime is 65420713. The next prime is 65420737. The reversal of 65420736 is 63702456.

It is a junction number, because it is equal to n+sod(n) for n = 65420697 and 65420706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65420737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2500 + ... + 11708.

Almost surely, 265420736 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 65420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88894920).

65420736 is an abundant number, since it is smaller than the sum of its proper divisors (112369104).

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

65420736 is a wasteful number, since it uses less digits than its factorization.

65420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9261 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 65420736 is about 8088.3085994539. The cubic root of 65420736 is about 402.9382308193.

The spelling of 65420736 in words is "sixty-five million, four hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 9209 18418 27627 36836 55254 73672 110508 147344 221016 294688 340733 442032 589376 681466 884064 1022199 1362932 1768128 2044398 2725864 4088796 5451728 8177592 10903456 16355184 21806912 32710368 65420736