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1137982756 = 2210121672
BaseRepresentation
bin100001111010100…
…0011110100100100
32221022022111212111
41003311003310210
54312310422011
6304530530404
740125456661
oct10365036444
92838274774
101137982756
115343a8319
12279136a04
131519bc2a1
14ab1c8a68
1569d8a121
hex43d43d24

1137982756 has 27 divisors (see below), whose sum is σ = 2023498897. Its totient is φ = 559984400.

The previous prime is 1137982733. The next prime is 1137982759. The reversal of 1137982756 is 6572897311.

It is a happy number.

The square root of 1137982756 is 33734.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1093360356 + 44622400 = 33066^2 + 6680^2 .

It is a super-3 number, since 3×11379827563 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

Its product of digits (635040) is a multiple of the sum of its prime divisors (270).

It is not an unprimeable number, because it can be changed into a prime (1137982759) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6814185 + ... + 6814351.

Almost surely, 21137982756 is an apocalyptic number.

1137982756 is the 33734-th square number.

It is an amenable number.

1137982756 is a deficient number, since it is larger than the sum of its proper divisors (885516141).

1137982756 is an equidigital number, since it uses as much as digits as its factorization.

1137982756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its digits is 635040, while the sum is 49.

The cubic root of 1137982756 is about 1044.0273929386.

Multiplying 1137982756 by its sum of digits (49), we get a square (55761155044 = 2361382).

The spelling of 1137982756 in words is "one billion, one hundred thirty-seven million, nine hundred eighty-two thousand, seven hundred fifty-six".

Divisors: 1 2 4 101 167 202 334 404 668 10201 16867 20402 27889 33734 40804 55778 67468 111556 1703567 2816789 3407134 5633578 6814268 11267156 284495689 568991378 1137982756