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104017408 = 291122373
BaseRepresentation
bin1100011001100…
…10111000000000
321020201122001121
412030302320000
5203112024113
614153242024
72402063515
oct614627000
9236648047
10104017408
1153795900
122aa03314
131871c281
14db5930c
1591e9e8d
hex6332e00

104017408 has 120 divisors (see below), whose sum is σ = 241640784. Its totient is φ = 44605440.

The previous prime is 104017399. The next prime is 104017411. The reversal of 104017408 is 804710401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1424860 + ... + 1424932.

Almost surely, 2104017408 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 104017408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120820392).

104017408 is an abundant number, since it is smaller than the sum of its proper divisors (137623376).

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

104017408 is an equidigital number, since it uses as much as digits as its factorization.

104017408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 104017408 is about 10198.8924888931. The cubic root of 104017408 is about 470.2931745638.

Adding to 104017408 its reverse (804710401), we get a palindrome (908727809).

The spelling of 104017408 in words is "one hundred four million, seventeen thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 73 88 92 121 128 146 176 184 242 253 256 292 352 368 484 506 512 584 704 736 803 968 1012 1168 1408 1472 1606 1679 1936 2024 2336 2783 2816 2944 3212 3358 3872 4048 4672 5566 5632 5888 6424 6716 7744 8096 8833 9344 11132 11776 12848 13432 15488 16192 17666 18469 18688 22264 25696 26864 30976 32384 35332 36938 37376 44528 51392 53728 61952 64768 70664 73876 89056 102784 107456 129536 141328 147752 178112 203159 205568 214912 282656 295504 356224 406318 411136 429824 565312 591008 712448 812636 859648 1130624 1182016 1424896 1625272 2261248 2364032 3250544 4522496 4728064 6501088 9456128 13002176 26004352 52008704 104017408