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86740896 = 2531182141
BaseRepresentation
bin1010010101110…
…00111110100000
320001012220010210
411022320332200
5134201202041
612335054120
72102166624
oct512707640
9201186123
1086740896
1144a657a0
1225071340
1314c80698
14b73d184
157936016
hex52b8fa0

86740896 has 48 divisors (see below), whose sum is σ = 248397408. Its totient is φ = 26284800.

The previous prime is 86740891. The next prime is 86740937. The reversal of 86740896 is 69804768.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (86740891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40015 + ... + 42126.

It is an arithmetic number, because the mean of its divisors is an integer number (5174946).

Almost surely, 286740896 is an apocalyptic number.

It is an amenable number.

86740896 is an abundant number, since it is smaller than the sum of its proper divisors (161656512).

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

86740896 is a wasteful number, since it uses less digits than its factorization.

86740896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82165 (or 82157 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 86740896 is about 9313.4792639486. The cubic root of 86740896 is about 442.6644388688.

The spelling of 86740896 in words is "eighty-six million, seven hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 82141 164282 246423 328564 492846 657128 903551 985692 1314256 1807102 1971384 2628512 2710653 3614204 3942768 5421306 7228408 7885536 10842612 14456816 21685224 28913632 43370448 86740896