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104168736 = 25327163317
BaseRepresentation
bin1100011010101…
…11110100100000
321021000022122100
412031113310200
5203131344421
614200410400
72403263640
oct615276440
9237008570
10104168736
1153889571
122aa76a00
1318773109
14db98520
159229c26
hex6357d20

104168736 has 144 divisors (see below), whose sum is σ = 341699904. Its totient is φ = 29486592.

The previous prime is 104168699. The next prime is 104168759. The reversal of 104168736 is 637861401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1041687362 = 21702251119675392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 104168736.

It is an unprimeable number.

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, 328450 + ... + 328766.

It is an arithmetic number, because the mean of its divisors is an integer number (2372916).

Almost surely, 2104168736 is an apocalyptic number.

104168736 is a gapful number since it is divisible by the number (16) 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 104168736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170849952).

104168736 is an abundant number, since it is smaller than the sum of its proper divisors (237531168).

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

104168736 is a wasteful number, since it uses less digits than its factorization.

104168736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 104168736 is about 10206.3086373086. The cubic root of 104168736 is about 470.5211301274.

The spelling of 104168736 in words is "one hundred four million, one hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 163 168 224 252 288 317 326 336 489 504 634 652 672 951 978 1008 1141 1268 1304 1467 1902 1956 2016 2219 2282 2536 2608 2853 2934 3423 3804 3912 4438 4564 5072 5216 5706 5868 6657 6846 7608 7824 8876 9128 10144 10269 11412 11736 13314 13692 15216 15648 17752 18256 19971 20538 22824 23472 26628 27384 30432 35504 36512 39942 41076 45648 46944 51671 53256 54768 71008 79884 82152 91296 103342 106512 109536 155013 159768 164304 206684 213024 310026 319536 328608 361697 413368 465039 620052 639072 723394 826736 930078 1085091 1240104 1446788 1653472 1860156 2170182 2480208 2893576 3255273 3720312 4340364 4960416 5787152 6510546 7440624 8680728 11574304 13021092 14881248 17361456 26042184 34722912 52084368 104168736