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1157476540 = 225115321873
BaseRepresentation
bin100010011111101…
…1011000010111100
32222122222220022111
41010333123002330
54332303222130
6310504423404
740453250113
oct10477330274
92878886274
101157476540
11544402290
12283777b64
13155a5617c
14ada20c7a
156b93b02a
hex44fdb0bc

1157476540 has 72 divisors (see below), whose sum is σ = 2704092048. Its totient is φ = 412738560.

The previous prime is 1157476531. The next prime is 1157476547. The reversal of 1157476540 is 456747511.

It is a junction number, because it is equal to n+sod(n) for n = 1157476493 and 1157476502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157476547) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 617044 + ... + 618916.

It is an arithmetic number, because the mean of its divisors is an integer number (37556834).

Almost surely, 21157476540 is an apocalyptic number.

1157476540 is a gapful number since it is divisible by the number (10) 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 1157476540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352046024).

1157476540 is an abundant number, since it is smaller than the sum of its proper divisors (1546615508).

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

1157476540 is a wasteful number, since it uses less digits than its factorization.

1157476540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 1157476540 is about 34021.7068942756. The cubic root of 1157476540 is about 1049.9551122156.

The spelling of 1157476540 in words is "one billion, one hundred fifty-seven million, four hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 1873 2332 2809 2915 3746 5618 5830 7492 9365 11236 11660 14045 18730 20603 28090 30899 37460 41206 56180 61798 82412 99269 103015 123596 154495 198538 206030 308990 397076 412060 496345 617980 992690 1091959 1985380 2183918 4367836 5261257 5459795 10522514 10919590 21045028 21839180 26306285 52612570 57873827 105225140 115747654 231495308 289369135 578738270 1157476540