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65690144 = 2513198311
BaseRepresentation
bin1111101010010…
…1101000100000
311120121101221022
43322211220200
5113304041034
610303545012
71425233312
oct372455040
9146541838
1065690144
1134097a83
1219bbb168
13107bcc10
148a1d7b2
155b78b2e
hex3ea5a20

65690144 has 48 divisors (see below), whose sum is σ = 146623680. Its totient is φ = 28719360.

The previous prime is 65690117. The next prime is 65690167. The reversal of 65690144 is 44109656.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3749 + ... + 12059.

It is an arithmetic number, because the mean of its divisors is an integer number (3054660).

Almost surely, 265690144 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 65690144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73311840).

65690144 is an abundant number, since it is smaller than the sum of its proper divisors (80933536).

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

65690144 is a wasteful number, since it uses less digits than its factorization.

65690144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8353 (or 8345 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 65690144 is about 8104.9456506506. The cubic root of 65690144 is about 403.4905842828.

The spelling of 65690144 in words is "sixty-five million, six hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 8311 16622 33244 66488 108043 132976 157909 216086 265952 315818 432172 631636 864344 1263272 1728688 2052817 2526544 3457376 4105634 5053088 8211268 16422536 32845072 65690144