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1157111430 = 235417731217
BaseRepresentation
bin100010011111000…
…0001111010000110
32222122022100110220
41010332001322012
54332210031210
6310452525210
740450166466
oct10476017206
92878270426
101157111430
11544182a42
12283620806
13155958c27
14ad967ba6
156b8b7c70
hex44f81e86

1157111430 has 64 divisors (see below), whose sum is σ = 2850821568. Its totient is φ = 300400640.

The previous prime is 1157111413. The next prime is 1157111441. The reversal of 1157111430 is 341117511.

It is a super-2 number, since 2×11571114302 = 2677813722873289800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1157111430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 950182 + ... + 951398.

It is an arithmetic number, because the mean of its divisors is an integer number (44544087).

Almost surely, 21157111430 is an apocalyptic number.

1157111430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157111430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425410784).

1157111430 is an abundant number, since it is smaller than the sum of its proper divisors (1693710138).

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

1157111430 is a wasteful number, since it uses less digits than its factorization.

1157111430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041.

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 1157111430 is about 34016.3406321139. The cubic root of 1157111430 is about 1049.8447026559.

Adding to 1157111430 its reverse (341117511), we get a palindrome (1498228941).

The spelling of 1157111430 in words is "one billion, one hundred fifty-seven million, one hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 773 1217 1230 1546 2319 2434 3651 3865 4638 6085 7302 7730 11595 12170 18255 23190 31693 36510 49897 63386 95079 99794 149691 158465 190158 249485 299382 316930 475395 498970 748455 940741 950790 1496910 1881482 2822223 4703705 5644446 9407410 14111115 28222230 38570381 77140762 115711143 192851905 231422286 385703810 578555715 1157111430