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85469680 = 2451068371
BaseRepresentation
bin1010001100000…
…10100111110000
312221211022100201
411012002213300
5133340012210
612251524544
72055323512
oct506024760
9187738321
1085469680
11442776aa
1224759754
1314926b9a
14b4cbbb2
15778453a
hex51829f0

85469680 has 20 divisors (see below), whose sum is σ = 198717192. Its totient is φ = 34187840.

The previous prime is 85469677. The next prime is 85469731. The reversal of 85469680 is 8696458.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 85469680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 534106 + ... + 534265.

Almost surely, 285469680 is an apocalyptic number.

85469680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85469680 is an abundant number, since it is smaller than the sum of its proper divisors (113247512).

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

85469680 is a wasteful number, since it uses less digits than its factorization.

85469680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068384 (or 1068378 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 85469680 is about 9244.9813412467. The cubic root of 85469680 is about 440.4913244383.

The spelling of 85469680 in words is "eighty-five million, four hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1068371 2136742 4273484 5341855 8546968 10683710 17093936 21367420 42734840 85469680