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681584130 = 232547269599
BaseRepresentation
bin101000101000000…
…010011000000010
31202111112001122200
4220220002120002
52343441143010
6151344414030
722614240513
oct5050023002
91674461580
10681584130
1131a811277
12170317316
13ab292026
1466742a0a
153ec85cc0
hex28a02602

681584130 has 96 divisors (see below), whose sum is σ = 1819584000. Its totient is φ = 176931456.

The previous prime is 681584069. The next prime is 681584149. The reversal of 681584130 is 31485186.

681584130 is a `hidden beast` number, since 68 + 1 + 584 + 13 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1137571 + ... + 1138169.

It is an arithmetic number, because the mean of its divisors is an integer number (18954000).

Almost surely, 2681584130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681584130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909792000).

681584130 is an abundant number, since it is smaller than the sum of its proper divisors (1137999870).

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

681584130 is a wasteful number, since it uses less digits than its factorization.

681584130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 681584130 is about 26107.1662575623. The cubic root of 681584130 is about 880.0482626767.

The spelling of 681584130 in words is "six hundred eighty-one million, five hundred eighty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 269 282 423 470 538 599 705 807 846 1198 1345 1410 1614 1797 2115 2421 2690 2995 3594 4035 4230 4842 5391 5990 8070 8985 10782 12105 12643 17970 24210 25286 26955 28153 37929 53910 56306 63215 75858 84459 113787 126430 140765 161131 168918 189645 227574 253377 281530 322262 379290 422295 483393 506754 568935 805655 844590 966786 1137870 1266885 1450179 1611310 2416965 2533770 2900358 4833930 7250895 7573157 14501790 15146314 22719471 37865785 45438942 68158413 75731570 113597355 136316826 227194710 340792065 681584130