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681989160 = 233553157683
BaseRepresentation
bin101000101001100…
…101010000101000
31202112021122020210
4220221211100220
52344042123120
6151401221120
722620545406
oct5051452050
91675248223
10681989160
1131aa68606
121704917a0
13ab3a44a8
146680a476
153ed15ce0
hex28a65428

681989160 has 128 divisors (see below), whose sum is σ = 2100919680. Its totient is φ = 177036288.

The previous prime is 681989093. The next prime is 681989167. The reversal of 681989160 is 61989186.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (681989167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998179 + ... + 998861.

It is an arithmetic number, because the mean of its divisors is an integer number (16413435).

Almost surely, 2681989160 is an apocalyptic number.

681989160 is a gapful number since it is divisible by the number (60) 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 681989160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050459840).

681989160 is an abundant number, since it is smaller than the sum of its proper divisors (1418930520).

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

681989160 is a wasteful number, since it uses less digits than its factorization.

681989160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 681989160 is about 26114.9221710500. The cubic root of 681989160 is about 880.2225504619. Note that the first 3 decimals are identical.

The spelling of 681989160 in words is "six hundred eighty-one million, nine hundred eighty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 157 159 212 265 314 318 424 471 530 628 636 683 785 795 942 1060 1256 1272 1366 1570 1590 1884 2049 2120 2355 2732 3140 3180 3415 3768 4098 4710 5464 6280 6360 6830 8196 8321 9420 10245 13660 16392 16642 18840 20490 24963 27320 33284 36199 40980 41605 49926 66568 72398 81960 83210 99852 107231 108597 124815 144796 166420 180995 199704 214462 217194 249630 289592 321693 332840 361990 428924 434388 499260 536155 542985 643386 723980 857848 868776 998520 1072310 1085970 1286772 1447960 1608465 2144620 2171940 2573544 3216930 4289240 4343880 5683243 6433860 11366486 12867720 17049729 22732972 28416215 34099458 45465944 56832430 68198916 85248645 113664860 136397832 170497290 227329720 340994580 681989160