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104601024 = 2633115503
BaseRepresentation
bin1100011110000…
…01010111000000
321021211021122000
412033001113000
5203234213044
614213544000
72410044153
oct617012700
9237737560
10104601024
1154054330
122b045000
1318894ac8
14dc6bc9a
1592b2d69
hex63c15c0

104601024 has 112 divisors (see below), whose sum is σ = 335523840. Its totient is φ = 31691520.

The previous prime is 104601019. The next prime is 104601053. The reversal of 104601024 is 420106401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104600988 and 104601006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 16257 + ... + 21759.

Almost surely, 2104601024 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 104601024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167761920).

104601024 is an abundant number, since it is smaller than the sum of its proper divisors (230922816).

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

104601024 is a wasteful number, since it uses less digits than its factorization.

104601024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104601024 is about 10227.4642018440. The cubic root of 104601024 is about 471.1711009667.

Adding to 104601024 its reverse (420106401), we get a palindrome (524707425).

The spelling of 104601024 in words is "one hundred four million, six hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 5503 6336 9504 11006 16509 19008 22012 33018 44024 49527 60533 66036 88048 99054 121066 132072 148581 176096 181599 198108 242132 264144 297162 352192 363198 396216 484264 528288 544797 594324 726396 792432 968528 1056576 1089594 1188648 1452792 1584864 1634391 1937056 2179188 2377296 2905584 3169728 3268782 3874112 4358376 4754592 5811168 6537564 8716752 9509184 11622336 13075128 17433504 26150256 34867008 52300512 104601024