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104412264 = 23311675903
BaseRepresentation
bin1100011100100…
…11010001101000
321021110200200220
412032103101220
5203212143024
614205530040
72405326635
oct616232150
9237420626
10104412264
1153a35530
122ab73920
1318829c08
14dc1d18c
159276e79
hex6393468

104412264 has 64 divisors (see below), whose sum is σ = 289059840. Its totient is φ = 31162560.

The previous prime is 104412263. The next prime is 104412271. The reversal of 104412264 is 462214401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (104412263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14737 + ... + 20639.

It is an arithmetic number, because the mean of its divisors is an integer number (4516560).

Almost surely, 2104412264 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 104412264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144529920).

104412264 is an abundant number, since it is smaller than the sum of its proper divisors (184647576).

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

104412264 is a wasteful number, since it uses less digits than its factorization.

104412264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 104412264 is about 10218.2319409964. The cubic root of 104412264 is about 470.8875097047.

Adding to 104412264 its reverse (462214401), we get a palindrome (566626665).

The spelling of 104412264 in words is "one hundred four million, four hundred twelve thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 4422 5896 5903 8844 11806 17688 17709 23612 35418 47224 64933 70836 129866 141672 194799 259732 389598 395501 519464 779196 791002 1186503 1558392 1582004 2373006 3164008 4350511 4746012 8701022 9492024 13051533 17402044 26103066 34804088 52206132 104412264