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104813016 = 233711431319
BaseRepresentation
bin1100011111101…
…01000111011000
321022020001102120
412033311013120
5203313004031
614222301240
72411616210
oct617650730
9238201376
10104813016
1154189630
122b127820
131893a449
14dcc5240
159305a96
hex63f51d8

104813016 has 128 divisors (see below), whose sum is σ = 334540800. Its totient is φ = 26570880.

The previous prime is 104813011. The next prime is 104813021. The reversal of 104813016 is 610318401.

It is an interprime number because it is at equal distance from previous prime (104813011) and next prime (104813021).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104813011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78805 + ... + 80123.

It is an arithmetic number, because the mean of its divisors is an integer number (2613600).

Almost surely, 2104813016 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 104813016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270400).

104813016 is an abundant number, since it is smaller than the sum of its proper divisors (229727784).

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

104813016 is a wasteful number, since it uses less digits than its factorization.

104813016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 104813016 is about 10237.8228154232. The cubic root of 104813016 is about 471.4891893192.

The spelling of 104813016 in words is "one hundred four million, eight hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 43 44 56 66 77 84 86 88 129 132 154 168 172 231 258 264 301 308 344 462 473 516 602 616 903 924 946 1032 1204 1319 1419 1806 1848 1892 2408 2638 2838 3311 3612 3784 3957 5276 5676 6622 7224 7914 9233 9933 10552 11352 13244 14509 15828 18466 19866 26488 27699 29018 31656 36932 39732 43527 55398 56717 58036 73864 79464 87054 101563 110796 113434 116072 170151 174108 203126 221592 226868 304689 340302 348216 397019 406252 453736 609378 623887 680604 794038 812504 1191057 1218756 1247774 1361208 1588076 1871661 2382114 2437512 2495548 3176152 3743322 4367209 4764228 4991096 7486644 8734418 9528456 13101627 14973288 17468836 26203254 34937672 52406508 104813016