Search a number
-
+
1457243560 = 23536431089
BaseRepresentation
bin101011011011011…
…1100010110101000
310202120001122100201
41112312330112220
510441023243220
6400333441544
751053236333
oct12666742650
93676048321
101457243560
11688637723
123480402b4
131a2ba1bc6
14db77361a
1587e00d0a
hex56dbc5a8

1457243560 has 16 divisors (see below), whose sum is σ = 3278798100. Its totient is φ = 582897408.

The previous prime is 1457243549. The next prime is 1457243569. The reversal of 1457243560 is 653427541.

It can be written as a sum of positive squares in 2 ways, for example, as 1309426596 + 147816964 = 36186^2 + 12158^2 .

It is a super-2 number, since 2×14572435602 = 4247117586322947200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1457243569) 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 3 ways as a sum of consecutive naturals, for example, 18215505 + ... + 18215584.

Almost surely, 21457243560 is an apocalyptic number.

1457243560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457243560 is an abundant number, since it is smaller than the sum of its proper divisors (1821554540).

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

1457243560 is a wasteful number, since it uses less digits than its factorization.

1457243560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36431100 (or 36431096 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 1457243560 is about 38173.8596424307. The cubic root of 1457243560 is about 1133.7328091959.

The spelling of 1457243560 in words is "one billion, four hundred fifty-seven million, two hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 36431089 72862178 145724356 182155445 291448712 364310890 728621780 1457243560