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18980976 = 2437173323
BaseRepresentation
bin100100001101…
…0000001110000
31022201100000010
41020122001300
514324342401
61514454520
7320223060
oct110320160
938640003
1018980976
11a794763
126434440
133c17661
1427413a0
1519eded6
hex121a070

18980976 has 80 divisors (see below), whose sum is σ = 59353344. Its totient is φ = 5102592.

The previous prime is 18980953. The next prime is 18980987. The reversal of 18980976 is 67908981.

It is a happy number.

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

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, 4051 + ... + 7373.

Almost surely, 218980976 is an apocalyptic number.

18980976 is a gapful number since it is divisible by the number (16) 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 18980976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29676672).

18980976 is an abundant number, since it is smaller than the sum of its proper divisors (40372368).

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

18980976 is a wasteful number, since it uses less digits than its factorization.

18980976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 18980976 is about 4356.7161945667. The cubic root of 18980976 is about 266.7510760564.

The spelling of 18980976 in words is "eighteen million, nine hundred eighty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 3323 5712 6646 9969 13292 19938 23261 26584 39876 46522 53168 56491 69783 79752 93044 112982 139566 159504 169473 186088 225964 279132 338946 372176 395437 451928 558264 677892 790874 903856 1116528 1186311 1355784 1581748 2372622 2711568 3163496 4745244 6326992 9490488 18980976