Search a number
-
+
1157015385 = 32525711453
BaseRepresentation
bin100010011110110…
…1010011101011001
32222122010110201200
41010331222131121
54332143443020
6310450504413
740446316461
oct10475523531
92878113650
101157015385
11544117869
12283595109
131559242b6
14ad940ba1
156b899590
hex44f6a759

1157015385 has 12 divisors (see below), whose sum is σ = 2005493412. Its totient is φ = 617074848.

The previous prime is 1157015371. The next prime is 1157015413. The reversal of 1157015385 is 5835107511.

1157015385 is a `hidden beast` number, since 1 + 1 + 570 + 1 + 5 + 3 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 186568281 + 970447104 = 13659^2 + 31152^2 .

It is not a de Polignac number, because 1157015385 - 28 = 1157015129 is a prime.

It is a super-2 number, since 2×11570153852 = 2677369202253396450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12855682 + ... + 12855771.

It is an arithmetic number, because the mean of its divisors is an integer number (167124451).

Almost surely, 21157015385 is an apocalyptic number.

1157015385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1157015385 is a deficient number, since it is larger than the sum of its proper divisors (848478027).

1157015385 is a wasteful number, since it uses less digits than its factorization.

1157015385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25711464 (or 25711461 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

The square root of 1157015385 is about 34014.9288548425. The cubic root of 1157015385 is about 1049.8156547118.

The spelling of 1157015385 in words is "one billion, one hundred fifty-seven million, fifteen thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 25711453 77134359 128557265 231403077 385671795 1157015385