Search a number
-
+
153115040 = 2551373613
BaseRepresentation
bin10010010000001…
…01100110100000
3101200010001100102
421020011212200
5303144140130
623105441532
73536312351
oct1110054640
9350101312
10153115040
117947a661
12433402a8
132594ca20
1416499d28
15d697645
hex92059a0

153115040 has 48 divisors (see below), whose sum is σ = 389565288. Its totient is φ = 56534016.

The previous prime is 153115031. The next prime is 153115043. The reversal of 153115040 is 40511351.

It can be written as a sum of positive squares in 4 ways, for example, as 99121936 + 53993104 = 9956^2 + 7348^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (153115043) 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, 34727 + ... + 38886.

Almost surely, 2153115040 is an apocalyptic number.

153115040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153115040 is an abundant number, since it is smaller than the sum of its proper divisors (236450248).

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

153115040 is a wasteful number, since it uses less digits than its factorization.

153115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73641 (or 73633 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 153115040 is about 12373.9662194464. The cubic root of 153115040 is about 534.9821404933.

Adding to 153115040 its reverse (40511351), we get a palindrome (193626391).

The spelling of 153115040 in words is "one hundred fifty-three million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 73613 147226 294452 368065 588904 736130 956969 1177808 1472260 1913938 2355616 2944520 3827876 4784845 5889040 7655752 9569690 11778080 15311504 19139380 30623008 38278760 76557520 153115040