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86998440 = 23355313679
BaseRepresentation
bin1010010111101…
…11110110101000
320001200222102110
411023313312220
5134232422230
612344402320
72104321524
oct513676650
9201628373
1086998440
1145121241
12251763a0
1315040989
14b7a8d84
1579874b0
hex52f7da8

86998440 has 64 divisors (see below), whose sum is σ = 265939200. Its totient is φ = 22760192.

The previous prime is 86998423. The next prime is 86998447. The reversal of 86998440 is 4489968.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86998440.

It is not an unprimeable number, because it can be changed into a prime (86998447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480 + ... + 13199.

It is an arithmetic number, because the mean of its divisors is an integer number (4155300).

Almost surely, 286998440 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 86998440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132969600).

86998440 is an abundant number, since it is smaller than the sum of its proper divisors (178940760).

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

86998440 is a wasteful number, since it uses less digits than its factorization.

86998440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746 (or 13742 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 86998440 is about 9327.2954279362. The cubic root of 86998440 is about 443.1021137113.

The spelling of 86998440 in words is "eighty-six million, nine hundred ninety-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 13679 27358 41037 54716 68395 82074 109432 136790 164148 205185 273580 328296 410370 547160 724987 820740 1449974 1641480 2174961 2899948 3624935 4349922 5799896 7249870 8699844 10874805 14499740 17399688 21749610 28999480 43499220 86998440