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8390112 = 253175397
BaseRepresentation
bin100000000000…
…010111100000
3120210021001220
4200000113200
54121440422
6455455040
7131212653
oct40002740
916707056
108390112
114810685
122987480
131979b83
14118589a
15b0ae5c
hex8005e0

8390112 has 96 divisors (see below), whose sum is σ = 24004512. Its totient is φ = 2555904.

The previous prime is 8390093. The next prime is 8390143. The reversal of 8390112 is 2110938.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86448 + ... + 86544.

It is an arithmetic number, because the mean of its divisors is an integer number (250047).

Almost surely, 28390112 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 8390112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12002256).

8390112 is an abundant number, since it is smaller than the sum of its proper divisors (15614400).

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

8390112 is a wasteful number, since it uses less digits than its factorization.

8390112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 8390112 is about 2896.5690048746. The cubic root of 8390112 is about 203.1994771309.

The spelling of 8390112 in words is "eight million, three hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 97 102 106 136 159 194 204 212 272 291 318 388 408 424 544 582 636 776 816 848 901 1164 1272 1552 1632 1649 1696 1802 2328 2544 2703 3104 3298 3604 4656 4947 5088 5141 5406 6596 7208 9312 9894 10282 10812 13192 14416 15423 19788 20564 21624 26384 28832 30846 39576 41128 43248 52768 61692 79152 82256 86496 87397 123384 158304 164512 174794 246768 262191 349588 493536 524382 699176 1048764 1398352 2097528 2796704 4195056 8390112