Search a number
-
+
2368683040 = 25534994231
BaseRepresentation
bin1000110100101111…
…0011110000100000
320010002002120021111
42031023303300200
514322340324130
61031013033104
7112461321313
oct21513636040
96102076244
102368683040
111006072699
12561325794
132b99723c9
1418682a97a
15dce3c02a
hex8d2f3c20

2368683040 has 48 divisors (see below), whose sum is σ = 5598936000. Its totient is φ = 946978560.

The previous prime is 2368682963. The next prime is 2368683041. The reversal of 2368683040 is 403868632.

It is a super-2 number, since 2×23686830402 = 11221318687967283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2368682984 and 2368683002.

It is not an unprimeable number, because it can be changed into a prime (2368683041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 557725 + ... + 561955.

It is an arithmetic number, because the mean of its divisors is an integer number (116644500).

Almost surely, 22368683040 is an apocalyptic number.

2368683040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2368683040 is an abundant number, since it is smaller than the sum of its proper divisors (3230252960).

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

2368683040 is a wasteful number, since it uses less digits than its factorization.

2368683040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7745 (or 7737 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 2368683040 is about 48669.1179291345. The cubic root of 2368683040 is about 1333.0168837896.

The spelling of 2368683040 in words is "two billion, three hundred sixty-eight million, six hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3499 4231 6998 8462 13996 16924 17495 21155 27992 33848 34990 42310 55984 67696 69980 84620 111968 135392 139960 169240 279920 338480 559840 676960 14804269 29608538 59217076 74021345 118434152 148042690 236868304 296085380 473736608 592170760 1184341520 2368683040