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104636928 = 293112563
BaseRepresentation
bin1100011110010…
…10001000000000
321021220002212210
412033022020000
5203241340203
614214422120
72410253634
oct617121000
9237802783
10104636928
1154079300
122b061940
13188a8256
14dc7adc4
1592bd803
hex63ca200

104636928 has 120 divisors (see below), whose sum is σ = 306949104. Its totient is φ = 31651840.

The previous prime is 104636897. The next prime is 104636929. The reversal of 104636928 is 829636401.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (104636929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185575 + ... + 186137.

Almost surely, 2104636928 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 104636928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153474552).

104636928 is an abundant number, since it is smaller than the sum of its proper divisors (202312176).

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

104636928 is an equidigital number, since it uses as much as digits as its factorization.

104636928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 104636928 is about 10229.2193250512. The cubic root of 104636928 is about 471.2250041739.

It can be divided in two parts, 10463 and 6928, that added together give a triangular number (17391 = T186).

The spelling of 104636928 in words is "one hundred four million, six hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 563 704 726 768 968 1056 1126 1408 1452 1536 1689 1936 2112 2252 2816 2904 3378 3872 4224 4504 5632 5808 6193 6756 7744 8448 9008 11616 12386 13512 15488 16896 18016 18579 23232 24772 27024 30976 36032 37158 46464 49544 54048 61952 68123 72064 74316 92928 99088 108096 136246 144128 148632 185856 198176 204369 216192 272492 288256 297264 396352 408738 432384 544984 594528 792704 817476 864768 1089968 1189056 1585408 1634952 2179936 2378112 3170816 3269904 4359872 4756224 6539808 8719744 9512448 13079616 17439488 26159232 34878976 52318464 104636928