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104679792 = 24327293581
BaseRepresentation
bin1100011110101…
…00100101110000
321021222021200100
412033110211300
5203244223132
614215352400
72410522620
oct617244560
9237867610
10104679792
11540a8528
122b082700
13188c1909
14dc8c880
1592cb37c
hex63d4970

104679792 has 120 divisors (see below), whose sum is σ = 346451040. Its totient is φ = 28869120.

The previous prime is 104679791. The next prime is 104679803. The reversal of 104679792 is 297976401.

104679792 is a `hidden beast` number, since 10 + 467 + 97 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104679791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27442 + ... + 31022.

It is an arithmetic number, because the mean of its divisors is an integer number (2887092).

Almost surely, 2104679792 is an apocalyptic number.

104679792 is a gapful number since it is divisible by the number (12) 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 104679792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173225520).

104679792 is an abundant number, since it is smaller than the sum of its proper divisors (241771248).

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

104679792 is a wasteful number, since it uses less digits than its factorization.

104679792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 104679792 is about 10231.3142850760. The cubic root of 104679792 is about 471.2893403871.

The spelling of 104679792 in words is "one hundred four million, six hundred seventy-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3581 3654 4176 4872 7162 7308 9744 10743 14324 14616 21486 25067 28648 29232 32229 42972 50134 57296 64458 75201 85944 100268 103849 128916 150402 171888 200536 207698 225603 257832 300804 311547 401072 415396 451206 515664 601608 623094 726943 830792 902412 934641 1203216 1246188 1453886 1661584 1804824 1869282 2180829 2492376 2907772 3609648 3738564 4361658 4984752 5815544 6542487 7477128 8723316 11631088 13084974 14954256 17446632 26169948 34893264 52339896 104679792