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104495616 = 29337559
BaseRepresentation
bin1100011101001…
…11101000000000
321021121221001000
412032213220000
5203222324431
614211412000
72406124641
oct616475000
9237557030
10104495616
1153a92115
122abb4000
1318858b34
14dc416c8
1592919e6
hex63a7a00

104495616 has 80 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 34827264.

The previous prime is 104495603. The next prime is 104495639. The reversal of 104495616 is 616594401.

104495616 is a `hidden beast` number, since 104 + 495 + 61 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10045 + ... + 17603.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2104495616 is an apocalyptic number.

104495616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

104495616 is an abundant number, since it is smaller than the sum of its proper divisors (204859584).

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

104495616 is an frugal number, since it uses more digits than its factorization.

104495616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 104495616 is about 10222.3097194323. The cubic root of 104495616 is about 471.0127790764.

It can be divided in two parts, 104495 and 616, that added together give a triangular number (105111 = T458).

The spelling of 104495616 in words is "one hundred four million, four hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 7559 13824 15118 22677 30236 45354 60472 68031 90708 120944 136062 181416 204093 241888 272124 362832 408186 483776 544248 725664 816372 967552 1088496 1451328 1632744 1935104 2176992 2902656 3265488 3870208 4353984 5805312 6530976 8707968 11610624 13061952 17415936 26123904 34831872 52247808 104495616