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104790672 = 2434711551
BaseRepresentation
bin1100011111011…
…11101010010000
321022011220210000
412033233222100
5203311300142
614222010000
72411464110
oct617575220
9238156700
10104790672
1154173868
122b116900
131893021c
14dcbb040
1592ee14c
hex63efa90

104790672 has 100 divisors (see below), whose sum is σ = 346652416. Its totient is φ = 29937600.

The previous prime is 104790671. The next prime is 104790709. The reversal of 104790672 is 276097401.

It is a happy number.

It is a super-3 number, since 3×1047906723 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104790671) 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, 3297 + ... + 14847.

Almost surely, 2104790672 is an apocalyptic number.

104790672 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 104790672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173326208).

104790672 is an abundant number, since it is smaller than the sum of its proper divisors (241861744).

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

104790672 is a wasteful number, since it uses less digits than its factorization.

104790672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11578 (or 11563 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 104790672 is about 10236.7315096177. The cubic root of 104790672 is about 471.4556829745.

It can be divided in two parts, 1047 and 90672, that added together give a palindrome (91719).

The spelling of 104790672 in words is "one hundred four million, seven hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 11551 23102 34653 46204 69306 80857 92408 103959 138612 161714 184816 207918 242571 277224 311877 323428 415836 485142 554448 623754 646856 727713 831672 935631 970284 1247508 1293712 1455426 1663344 1871262 1940568 2183139 2495016 2910852 3742524 3881136 4366278 4990032 5821704 6549417 7485048 8732556 11643408 13098834 14970096 17465112 26197668 34930224 52395336 104790672