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86740224 = 283532131
BaseRepresentation
bin1010010101110…
…00110100000000
320001012212012220
411022320310000
5134201141344
612335051040
72102164644
oct512706400
9201185186
1086740224
1144a6523a
1225070a80
1314c8029c
14b73cc24
157935c19
hex52b8d00

86740224 has 72 divisors (see below), whose sum is σ = 235321632. Its totient is φ = 28354560.

The previous prime is 86740223. The next prime is 86740237. The reversal of 86740224 is 42204768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86740223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39639 + ... + 41769.

It is an arithmetic number, because the mean of its divisors is an integer number (3268356).

Almost surely, 286740224 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 86740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117660816).

86740224 is an abundant number, since it is smaller than the sum of its proper divisors (148581408).

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

86740224 is a wasteful number, since it uses less digits than its factorization.

86740224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 86740224 is about 9313.4431871355. The cubic root of 86740224 is about 442.6632957276.

The spelling of 86740224 in words is "eighty-six million, seven hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2131 2544 3392 4262 5088 6393 6784 8524 10176 12786 13568 17048 20352 25572 34096 40704 51144 68192 102288 112943 136384 204576 225886 272768 338829 409152 451772 545536 677658 818304 903544 1355316 1636608 1807088 2710632 3614176 5421264 7228352 10842528 14456704 21685056 28913408 43370112 86740224