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104193408 = 27311171451
BaseRepresentation
bin1100011010111…
…01110110000000
321021001120111010
412031131312000
5203133142113
614201120520
72403425604
oct615356600
9237046433
10104193408
11538a6060
122aa89140
1318781407
14dba3504
1592321c3
hex635dd80

104193408 has 128 divisors (see below), whose sum is σ = 319904640. Its totient is φ = 29696000.

The previous prime is 104193403. The next prime is 104193421. The reversal of 104193408 is 804391401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104193403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71083 + ... + 72533.

It is an arithmetic number, because the mean of its divisors is an integer number (2499255).

Almost surely, 2104193408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159952320).

104193408 is an abundant number, since it is smaller than the sum of its proper divisors (215711232).

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

104193408 is a wasteful number, since it uses less digits than its factorization.

104193408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 104193408 is about 10207.5172299634. The cubic root of 104193408 is about 470.5582742886.

It can be divided in two parts, 1041 and 93408, that added together give a palindrome (94449).

The spelling of 104193408 in words is "one hundred four million, one hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1451 1496 1632 2112 2176 2244 2902 2992 3264 4224 4353 4488 5804 5984 6528 8706 8976 11608 11968 15961 17412 17952 23216 23936 24667 31922 34824 35904 46432 47883 49334 63844 69648 71808 74001 92864 95766 98668 127688 139296 148002 185728 191532 197336 255376 271337 278592 296004 383064 394672 510752 542674 557184 592008 766128 789344 814011 1021504 1085348 1184016 1532256 1578688 1628022 2043008 2170696 2368032 3064512 3157376 3256044 4341392 4736064 6129024 6512088 8682784 9472128 13024176 17365568 26048352 34731136 52096704 104193408