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104298432 = 2637711093
BaseRepresentation
bin1100011011101…
…11011111000000
321021020220112220
412031313133000
5203200022212
614203251040
72404344030
oct615673700
9237226486
10104298432
1153967a57
122ab19a80
13187ba164
14dbcd8c0
15925338c
hex63777c0

104298432 has 112 divisors (see below), whose sum is σ = 320113152. Its totient is φ = 29352960.

The previous prime is 104298427. The next prime is 104298433. The reversal of 104298432 is 234892401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 104298393 and 104298402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104298433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94878 + ... + 95970.

Almost surely, 2104298432 is an apocalyptic number.

104298432 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 104298432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160056576).

104298432 is an abundant number, since it is smaller than the sum of its proper divisors (215814720).

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

104298432 is a wasteful number, since it uses less digits than its factorization.

104298432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 104298432 is about 10212.6603781777. The cubic root of 104298432 is about 470.7163243285.

The spelling of 104298432 in words is "one hundred four million, two hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 142 168 192 213 224 284 336 426 448 497 568 672 852 994 1093 1136 1344 1491 1704 1988 2186 2272 2982 3279 3408 3976 4372 4544 5964 6558 6816 7651 7952 8744 11928 13116 13632 15302 15904 17488 22953 23856 26232 30604 31808 34976 45906 47712 52464 61208 69952 77603 91812 95424 104928 122416 155206 183624 209856 232809 244832 310412 367248 465618 489664 543221 620824 734496 931236 1086442 1241648 1468992 1629663 1862472 2172884 2483296 3259326 3724944 4345768 4966592 6518652 7449888 8691536 13037304 14899776 17383072 26074608 34766144 52149216 104298432