Search a number
-
+
151460504 = 23132293863
BaseRepresentation
bin10010000011100…
…01101010011000
3101112222222202022
421001301222120
5302233214004
623010154012
73516251546
oct1101615230
9345888668
10151460504
117854a578
1242882908
13254c0900
1416188d96
15d46c2be
hex9071a98

151460504 has 48 divisors (see below), whose sum is σ = 318200400. Its totient is φ = 67476864.

The previous prime is 151460503. The next prime is 151460521. The reversal of 151460504 is 405064151.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151460503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37277 + ... + 41139.

It is an arithmetic number, because the mean of its divisors is an integer number (6629175).

Almost surely, 2151460504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151460504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159100200).

151460504 is an abundant number, since it is smaller than the sum of its proper divisors (166739896).

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

151460504 is a wasteful number, since it uses less digits than its factorization.

151460504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 151460504 is about 12306.9291051830. The cubic root of 151460504 is about 533.0481812483.

The spelling of 151460504 in words is "one hundred fifty-one million, four hundred sixty thousand, five hundred four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 169 232 338 377 676 754 1352 1508 3016 3863 4901 7726 9802 15452 19604 30904 39208 50219 100438 112027 200876 224054 401752 448108 652847 896216 1305694 1456351 2611388 2912702 5222776 5825404 11650808 18932563 37865126 75730252 151460504