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86961360 = 2435362339
BaseRepresentation
bin1010010111011…
…10110011010000
320001122002120010
411023232303100
5134230230420
612343514520
72104105443
oct513566320
9201562503
1086961360
11450a63a2
1225158a40
1315029b35
14b79965a
15797b4e0
hex52eecd0

86961360 has 40 divisors (see below), whose sum is σ = 269580960. Its totient is φ = 23189632.

The previous prime is 86961289. The next prime is 86961389. The reversal of 86961360 is 6316968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 180930 + ... + 181409.

It is an arithmetic number, because the mean of its divisors is an integer number (6739524).

Almost surely, 286961360 is an apocalyptic number.

86961360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86961360 is an abundant number, since it is smaller than the sum of its proper divisors (182619600).

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

86961360 is a wasteful number, since it uses less digits than its factorization.

86961360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362355 (or 362349 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 86961360 is about 9325.3075016323. The cubic root of 86961360 is about 443.0391525777.

The spelling of 86961360 in words is "eighty-six million, nine hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 362339 724678 1087017 1449356 1811695 2174034 2898712 3623390 4348068 5435085 5797424 7246780 8696136 10870170 14493560 17392272 21740340 28987120 43480680 86961360