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104719000 = 23532329157
BaseRepresentation
bin1100011110111…
…10001010011000
321022001021110111
412033132022120
5203302002000
614220254104
72411045131
oct617361230
9238037414
10104719000
1154124a31
122b0a1334
1318906709
14dc9cc88
1592d7cba
hex63de298

104719000 has 128 divisors (see below), whose sum is σ = 266198400. Its totient is φ = 38438400.

The previous prime is 104718989. The next prime is 104719049. The reversal of 104719000 is 917401.

104719000 = T319 + T320 + ... + T870.

It is a super-2 number, since 2×1047190002 = 21932137922000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666922 + ... + 667078.

It is an arithmetic number, because the mean of its divisors is an integer number (2079675).

Almost surely, 2104719000 is an apocalyptic number.

104719000 is a gapful number since it is divisible by the number (10) 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 104719000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133099200).

104719000 is an abundant number, since it is smaller than the sum of its proper divisors (161479400).

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

104719000 is a wasteful number, since it uses less digits than its factorization.

104719000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 104719000 is about 10233.2301840621. The cubic root of 104719000 is about 471.3481737925.

It can be divided in two parts, 104 and 719000, that added together give a square (719104 = 8482).

The spelling of 104719000 in words is "one hundred four million, seven hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 20 23 25 29 40 46 50 58 92 100 115 116 125 145 157 184 200 230 232 250 290 314 460 500 575 580 628 667 725 785 920 1000 1150 1160 1256 1334 1450 1570 2300 2668 2875 2900 3140 3335 3611 3625 3925 4553 4600 5336 5750 5800 6280 6670 7222 7250 7850 9106 11500 13340 14444 14500 15700 16675 18055 18212 19625 22765 23000 26680 28888 29000 31400 33350 36110 36424 39250 45530 66700 72220 78500 83375 90275 91060 104719 113825 133400 144440 157000 166750 180550 182120 209438 227650 333500 361100 418876 451375 455300 523595 569125 667000 722200 837752 902750 910600 1047190 1138250 1805500 2094380 2276500 2617975 3611000 4188760 4553000 5235950 10471900 13089875 20943800 26179750 52359500 104719000