Search a number
-
+
153016964 = 2246182981
BaseRepresentation
bin10010001111011…
…01101010000100
3101122221001210222
421013231222010
5303133020324
623103403512
73535423412
oct1107555204
9348831728
10153016964
1179412a01
12432b3598
13259171a9
14164722b2
15d67855e
hex91eda84

153016964 has 12 divisors (see below), whose sum is σ = 268363788. Its totient is φ = 76341600.

The previous prime is 153016957. The next prime is 153016967. The reversal of 153016964 is 469610351.

It can be written as a sum of positive squares in 2 ways, for example, as 49140100 + 103876864 = 7010^2 + 10192^2 .

It is not an unprimeable number, because it can be changed into a prime (153016967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39647 + ... + 43334.

It is an arithmetic number, because the mean of its divisors is an integer number (22363649).

Almost surely, 2153016964 is an apocalyptic number.

It is an amenable number.

153016964 is a deficient number, since it is larger than the sum of its proper divisors (115346824).

153016964 is a wasteful number, since it uses less digits than its factorization.

153016964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83446 (or 83444 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 153016964 is about 12370.0025869035. The cubic root of 153016964 is about 534.8678906343.

It can be divided in two parts, 1530169 and 64, that multiplied together give a square (97930816 = 98962).

The spelling of 153016964 in words is "one hundred fifty-three million, sixteen thousand, nine hundred sixty-four".

Divisors: 1 2 4 461 922 1844 82981 165962 331924 38254241 76508482 153016964