Search a number
-
+
152653780 = 22553144013
BaseRepresentation
bin10010001100101…
…00111111010100
3101122020121121201
421012110333110
5303034410110
623051522244
73532351516
oct1106247724
9348217551
10152653780
1179195054
1243159384
132581aaa6
14163b9bb6
15d605b3a
hex9194fd4

152653780 has 24 divisors (see below), whose sum is σ = 326623752. Its totient is φ = 59908992.

The previous prime is 152653777. The next prime is 152653789. The reversal of 152653780 is 87356251.

152653780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15904144 + 136749636 = 3988^2 + 11694^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152653789) 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, 70947 + ... + 73066.

It is an arithmetic number, because the mean of its divisors is an integer number (13609323).

Almost surely, 2152653780 is an apocalyptic number.

152653780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152653780 is an abundant number, since it is smaller than the sum of its proper divisors (173969972).

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

152653780 is a wasteful number, since it uses less digits than its factorization.

152653780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144075 (or 144073 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 152653780 is about 12355.3138365644. The cubic root of 152653780 is about 534.4443878070. Note that the first 3 decimals are identical.

The spelling of 152653780 in words is "one hundred fifty-two million, six hundred fifty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 144013 288026 576052 720065 1440130 2880260 7632689 15265378 30530756 38163445 76326890 152653780