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18962112 = 2631371107
BaseRepresentation
bin100100001010…
…1011011000000
31022200101010110
41020111123000
514323241422
61514231320
7320114061
oct110253300
938611113
1018962112
11a781574
126425540
133c0bbb0
142738568
1519e860c
hex12156c0

18962112 has 112 divisors (see below), whose sum is σ = 55302912. Its totient is φ = 5698560.

The previous prime is 18962071. The next prime is 18962147. The reversal of 18962112 is 21126981.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 18962112.

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, 177163 + ... + 177269.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 218962112 is an apocalyptic number.

18962112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18962112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27651456).

18962112 is an abundant number, since it is smaller than the sum of its proper divisors (36340800).

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

18962112 is a wasteful number, since it uses less digits than its factorization.

18962112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 18962112 is about 4354.5507230942. The cubic root of 18962112 is about 266.6626777181.

The spelling of 18962112 in words is "eighteen million, nine hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 107 142 156 192 208 213 214 284 312 321 416 426 428 568 624 642 832 852 856 923 1136 1248 1284 1391 1704 1712 1846 2272 2496 2568 2769 2782 3408 3424 3692 4173 4544 5136 5538 5564 6816 6848 7384 7597 8346 10272 11076 11128 13632 14768 15194 16692 20544 22152 22256 22791 29536 30388 33384 44304 44512 45582 59072 60776 66768 88608 89024 91164 98761 121552 133536 177216 182328 197522 243104 267072 296283 364656 395044 486208 592566 729312 790088 1185132 1458624 1580176 2370264 3160352 4740528 6320704 9481056 18962112