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104630592 = 26311107463
BaseRepresentation
bin1100011110010…
…00100101000000
321021212210012010
412033020211000
5203241134332
614214332520
72410226313
oct617104500
9237783163
10104630592
1154074570
122b05a140
13188a53c1
14dc7897a
1592bb9cc
hex63c8940

104630592 has 112 divisors (see below), whose sum is σ = 305482752. Its totient is φ = 31342080.

The previous prime is 104630569. The next prime is 104630623. The reversal of 104630592 is 295036401.

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, 225753 + ... + 226215.

Almost surely, 2104630592 is an apocalyptic number.

104630592 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 104630592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152741376).

104630592 is an abundant number, since it is smaller than the sum of its proper divisors (200852160).

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

104630592 is a wasteful number, since it uses less digits than its factorization.

104630592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 104630592 is about 10228.9096193094. The cubic root of 104630592 is about 471.2154927393.

Adding to 104630592 its reverse (295036401), we get a palindrome (399666993).

The spelling of 104630592 in words is "one hundred four million, six hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 132 176 192 214 264 321 352 428 463 528 642 704 856 926 1056 1177 1284 1389 1712 1852 2112 2354 2568 2778 3424 3531 3704 4708 5093 5136 5556 6848 7062 7408 9416 10186 10272 11112 14124 14816 15279 18832 20372 20544 22224 28248 29632 30558 37664 40744 44448 49541 56496 61116 75328 81488 88896 99082 112992 122232 148623 162976 198164 225984 244464 297246 325952 396328 488928 544951 594492 792656 977856 1089902 1188984 1585312 1634853 2179804 2377968 3170624 3269706 4359608 4755936 6539412 8719216 9511872 13078824 17438432 26157648 34876864 52315296 104630592