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152040024 = 23334091721
BaseRepresentation
bin10010000111111…
…11001001011000
3101121002102201000
421003333021120
5302410240044
623030425000
73524214243
oct1103771130
9347072630
10152040024
1178905a14
1242b02160
1325664616
141629a25a
15d533d69
hex90ff258

152040024 has 64 divisors (see below), whose sum is σ = 423612000. Its totient is φ = 50526720.

The previous prime is 152039989. The next prime is 152040029. The reversal of 152040024 is 420040251.

152040024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 152039979 and 152040006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152040029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87484 + ... + 89204.

Almost surely, 2152040024 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 152040024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211806000).

152040024 is an abundant number, since it is smaller than the sum of its proper divisors (271571976).

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

152040024 is a wasteful number, since it uses less digits than its factorization.

152040024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 152040024 is about 12330.4510866391. The cubic root of 152040024 is about 533.7271677860.

Adding to 152040024 its reverse (420040251), we get a palindrome (572080275).

The spelling of 152040024 in words is "one hundred fifty-two million, forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 409 818 1227 1636 1721 2454 3272 3442 3681 4908 5163 6884 7362 9816 10326 11043 13768 14724 15489 20652 22086 29448 30978 41304 44172 46467 61956 88344 92934 123912 185868 371736 703889 1407778 2111667 2815556 4223334 5631112 6335001 8446668 12670002 16893336 19005003 25340004 38010006 50680008 76020012 152040024