Search a number
-
+
6124116120 = 233579764033
BaseRepresentation
bin1011011010000011…
…01001100010011000
3120210210121022222120
411231001221202120
5100020233203440
62451405021240
7304522061643
oct55501514230
916723538876
106124116120
1126629a40a1
12122ab54820
13767a04365
144214baa5a
1525c9a2dd0
hex16d069898

6124116120 has 64 divisors (see below), whose sum is σ = 18395687520. Its totient is φ = 1631023104.

The previous prime is 6124116109. The next prime is 6124116169. The reversal of 6124116120 is 216114216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63624 + ... + 127656.

Almost surely, 26124116120 is an apocalyptic number.

6124116120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6124116120 is an abundant number, since it is smaller than the sum of its proper divisors (12271571400).

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

6124116120 is a wasteful number, since it uses less digits than its factorization.

6124116120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64844 (or 64840 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 6124116120 is about 78256.7321065734. The cubic root of 6124116120 is about 1829.5648402435.

The spelling of 6124116120 in words is "six billion, one hundred twenty-four million, one hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 797 1594 2391 3188 3985 4782 6376 7970 9564 11955 15940 19128 23910 31880 47820 64033 95640 128066 192099 256132 320165 384198 512264 640330 768396 960495 1280660 1536792 1920990 2561320 3841980 7683960 51034301 102068602 153102903 204137204 255171505 306205806 408274408 510343010 612411612 765514515 1020686020 1224823224 1531029030 2041372040 3062058060 6124116120