Search a number
-
+
104918976 = 263437547
BaseRepresentation
bin1100100000011…
…10111111000000
321022102102210000
412100032333000
5203324401401
614224440000
72412540141
oct620167700
9238372700
10104918976
11542511a8
122b179000
1318976746
14dd11ac8
159327186
hex640efc0

104918976 has 140 divisors (see below), whose sum is σ = 320002408. Its totient is φ = 33965568.

The previous prime is 104918971. The next prime is 104918977. The reversal of 104918976 is 679819401.

It is a happy number.

104918976 is a `hidden beast` number, since 10 + 491 + 89 + 76 = 666.

It is a super-2 number, since 2×1049189762 = 22015983049777152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104918971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191535 + ... + 192081.

Almost surely, 2104918976 is an apocalyptic number.

104918976 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 104918976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160001204).

104918976 is an abundant number, since it is smaller than the sum of its proper divisors (215083432).

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

104918976 is an equidigital number, since it uses as much as digits as its factorization.

104918976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 104918976 is about 10242.9964365902. The cubic root of 104918976 is about 471.6480187300.

The spelling of 104918976 in words is "one hundred four million, nine hundred eighteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 144 148 162 192 216 222 288 296 324 333 432 444 547 576 592 648 666 864 888 999 1094 1184 1296 1332 1641 1728 1776 1998 2188 2368 2592 2664 2997 3282 3552 3996 4376 4923 5184 5328 5994 6564 7104 7992 8752 9846 10656 11988 13128 14769 15984 17504 19692 20239 21312 23976 26256 29538 31968 35008 39384 40478 44307 47952 52512 59076 60717 63936 78768 80956 88614 95904 105024 118152 121434 157536 161912 177228 182151 191808 236304 242868 315072 323824 354456 364302 472608 485736 546453 647648 708912 728604 945216 971472 1092906 1295296 1417824 1457208 1639359 1942944 2185812 2835648 2914416 3278718 3885888 4371624 5828832 6557436 8743248 11657664 13114872 17486496 26229744 34972992 52459488 104918976