Search a number
-
+
1157693520 = 24354823723
BaseRepresentation
bin100010100000001…
…0000000001010000
32222200101220221210
41011000100001100
54332332143040
6310513220120
740455142524
oct10500200120
92880356853
101157693520
11544540305
12283861640
13155b00b69
14ada79d84
156b980480
hex45010050

1157693520 has 40 divisors (see below), whose sum is σ = 3588850656. Its totient is φ = 308718208.

The previous prime is 1157693501. The next prime is 1157693521. The reversal of 1157693520 is 253967511.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157693521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2411622 + ... + 2412101.

Almost surely, 21157693520 is an apocalyptic number.

1157693520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157693520 is an abundant number, since it is smaller than the sum of its proper divisors (2431157136).

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

1157693520 is a wasteful number, since it uses less digits than its factorization.

1157693520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4823739 (or 4823733 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 1157693520 is about 34024.8955913167. The cubic root of 1157693520 is about 1050.0207161446.

The spelling of 1157693520 in words is "one billion, one hundred fifty-seven million, six hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4823723 9647446 14471169 19294892 24118615 28942338 38589784 48237230 57884676 72355845 77179568 96474460 115769352 144711690 192948920 231538704 289423380 385897840 578846760 1157693520