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6118140 = 2235722081
BaseRepresentation
bin10111010101101011111100
3102111211111210
4113111223330
53031240030
6335044420
7103001100
oct27255374
912454453
106118140
1134a9716
122070710
131362a02
14b53900
1580cbb0
hex5d5afc

6118140 has 72 divisors (see below), whose sum is σ = 19937232. Its totient is φ = 1397760.

The previous prime is 6118139. The next prime is 6118157. The reversal of 6118140 is 418116.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900 + ... + 3980.

It is an arithmetic number, because the mean of its divisors is an integer number (276906).

Almost surely, 26118140 is an apocalyptic number.

6118140 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 6118140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968616).

6118140 is an abundant number, since it is smaller than the sum of its proper divisors (13819092).

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

6118140 is a wasteful number, since it uses less digits than its factorization.

6118140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 6118140 is about 2473.4874165841. The cubic root of 6118140 is about 182.8969529441.

The spelling of 6118140 in words is "six million, one hundred eighteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2081 2940 4162 6243 8324 10405 12486 14567 20810 24972 29134 31215 41620 43701 58268 62430 72835 87402 101969 124860 145670 174804 203938 218505 291340 305907 407876 437010 509845 611814 874020 1019690 1223628 1529535 2039380 3059070 6118140