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104297144 = 2373173823
BaseRepresentation
bin1100011011101…
…11001010111000
321021020211210012
412031313022320
5203200002034
614203241052
72404340210
oct615671270
9237224705
10104297144
1153966a96
122ab19188
13187b96b3
14dbcd240
159252cce
hex63772b8

104297144 has 64 divisors (see below), whose sum is σ = 234147840. Its totient is φ = 42612480.

The previous prime is 104297093. The next prime is 104297161. The reversal of 104297144 is 441792401.

It is a self number, because there is not a number n which added to its sum of digits gives 104297144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126317 + ... + 127139.

It is an arithmetic number, because the mean of its divisors is an integer number (3658560).

Almost surely, 2104297144 is an apocalyptic number.

104297144 is a gapful number since it is divisible by the number (14) 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 104297144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117073920).

104297144 is an abundant number, since it is smaller than the sum of its proper divisors (129850696).

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

104297144 is a wasteful number, since it uses less digits than its factorization.

104297144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 104297144 is about 10212.5973189977. The cubic root of 104297144 is about 470.7143866671.

The spelling of 104297144 in words is "one hundred four million, two hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 73 124 146 217 248 292 434 511 584 823 868 1022 1646 1736 2044 2263 3292 4088 4526 5761 6584 9052 11522 15841 18104 23044 25513 31682 46088 51026 60079 63364 102052 120158 126728 178591 204104 240316 357182 420553 480632 714364 841106 1428728 1682212 1862449 3364424 3724898 7449796 13037143 14899592 26074286 52148572 104297144