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1252736680 = 235132409109
BaseRepresentation
bin100101010101011…
…0011111010101000
310020022020121122211
41022222303322220
510031200033210
6324150254504
743021041346
oct11252637250
93208217584
101252736680
11593156678
122ab657434
1316c6ca410
14bc53a996
1574ea638a
hex4aab3ea8

1252736680 has 32 divisors (see below), whose sum is σ = 3035478600. Its totient is φ = 462548736.

The previous prime is 1252736669. The next prime is 1252736689. The reversal of 1252736680 is 866372521.

It can be written as a sum of positive squares in 4 ways, for example, as 928664676 + 324072004 = 30474^2 + 18002^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1252736689) 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, 1204035 + ... + 1205074.

Almost surely, 21252736680 is an apocalyptic number.

1252736680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252736680 is an abundant number, since it is smaller than the sum of its proper divisors (1782741920).

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

1252736680 is a wasteful number, since it uses less digits than its factorization.

1252736680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409133 (or 2409129 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 1252736680 is about 35394.0203989318. The cubic root of 1252736680 is about 1078.0029051178.

The spelling of 1252736680 in words is "one billion, two hundred fifty-two million, seven hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2409109 4818218 9636436 12045545 19272872 24091090 31318417 48182180 62636834 96364360 125273668 156592085 250547336 313184170 626368340 1252736680