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104896440 = 233251126489
BaseRepresentation
bin1100100000010…
…01011110111000
321022101021212100
412100021132320
5203323141230
614224143400
72412414345
oct620113670
9238337770
10104896440
1154236280
122b167b60
13189693cc
14dd077cc
159320660
hex64097b8

104896440 has 96 divisors (see below), whose sum is σ = 371919600. Its totient is φ = 25428480.

The previous prime is 104896417. The next prime is 104896453. The reversal of 104896440 is 44698401.

It is a happy number.

104896440 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 9 + 644 + 0 = 666.

It is a super-2 number, since 2×1048964402 = 22006526249347200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 104896395 and 104896404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9285 + ... + 17204.

Almost surely, 2104896440 is an apocalyptic number.

104896440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104896440 is an abundant number, since it is smaller than the sum of its proper divisors (267023160).

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

104896440 is a wasteful number, since it uses less digits than its factorization.

104896440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26517 (or 26510 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 104896440 is about 10241.8963087897. The cubic root of 104896440 is about 471.6142472069.

The spelling of 104896440 in words is "one hundred four million, eight hundred ninety-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 26489 52978 79467 105956 132445 158934 211912 238401 264890 291379 317868 397335 476802 529780 582758 635736 794670 874137 953604 1059560 1165516 1192005 1456895 1589340 1748274 1907208 2331032 2384010 2622411 2913790 3178680 3496548 4370685 4768020 5244822 5827580 6993096 8741370 9536040 10489644 11655160 13112055 17482740 20979288 26224110 34965480 52448220 104896440