Search a number
-
+
1157360400 = 243105272
BaseRepresentation
bin100010011111011…
…1110101100010000
32222122210000000000
41010332332230100
54332241013100
6310502130000
740452254400
oct10476765420
92878700000
101157360400
11544332aa9
12283720900
13155a15351
14ad9d0800
156b916900
hex44fbeb10

1157360400 has 495 divisors, whose sum is σ = 4851763221. Its totient is φ = 264539520.

The previous prime is 1157360389. The next prime is 1157360441. The reversal of 1157360400 is 40637511.

The square root of 1157360400 is 34020.

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

1157360400 is a `hidden beast` number, since 1 + 1 + 57 + 3 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 416649744 + 740710656 = 20412^2 + 27216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 165337197 + ... + 165337203.

Almost surely, 21157360400 is an apocalyptic number.

1157360400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1157360400 is the 34020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157360400

1157360400 is an abundant number, since it is smaller than the sum of its proper divisors (3694402821).

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

1157360400 is an frugal number, since it uses more digits than its factorization.

1157360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 1157360400 is about 1049.9199939040.

Adding to 1157360400 its reverse (40637511), we get a palindrome (1197997911).

The spelling of 1157360400 in words is "one billion, one hundred fifty-seven million, three hundred sixty thousand, four hundred".