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65809680 = 2435377411
BaseRepresentation
bin1111101100001…
…0110100010000
311120211110220120
43323002310100
5113321402210
610310310240
71426241646
oct373026420
9146743816
1065809680
1134169872
121a058380
1310832451
148a51196
155b9e270
hex3ec2d10

65809680 has 80 divisors (see below), whose sum is σ = 209552064. Its totient is φ = 17072640.

The previous prime is 65809663. The next prime is 65809691. The reversal of 65809680 is 8690856.

It is a tau number, because it is divible by the number of its divisors (80).

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, 5175 + ... + 12585.

Almost surely, 265809680 is an apocalyptic number.

65809680 is a gapful number since it is divisible by the number (60) 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 65809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104776032).

65809680 is an abundant number, since it is smaller than the sum of its proper divisors (143742384).

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

65809680 is a wasteful number, since it uses less digits than its factorization.

65809680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7464 (or 7458 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 65809680 is about 8112.3165618706. The cubic root of 65809680 is about 403.7351791919.

The spelling of 65809680 in words is "sixty-five million, eight hundred nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 7411 8880 14822 22233 29644 37055 44466 59288 74110 88932 111165 118576 148220 177864 222330 274207 296440 355728 444660 548414 592880 822621 889320 1096828 1371035 1645242 1778640 2193656 2742070 3290484 4113105 4387312 5484140 6580968 8226210 10968280 13161936 16452420 21936560 32904840 65809680