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1532480040 = 2333571331503
BaseRepresentation
bin101101101010111…
…1100101000101000
310221210122001102000
41123111330220220
511114303330130
6412022211000
752655602560
oct13325745050
93853561360
101532480040
11717054a33
12369283a60
131b5655030
14107759da0
158e813260
hex5b57ca28

1532480040 has 512 divisors, whose sum is σ = 6502809600. Its totient is φ = 312284160.

The previous prime is 1532480029. The next prime is 1532480119. The reversal of 1532480040 is 400842351.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1532479986 and 1532480013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3046429 + ... + 3046931.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 21532480040 is an apocalyptic number.

1532480040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1532480040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251404800).

1532480040 is an abundant number, since it is smaller than the sum of its proper divisors (4970329560).

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

1532480040 is a wasteful number, since it uses less digits than its factorization.

1532480040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1532480040 is about 39146.9033258060. The cubic root of 1532480040 is about 1152.9176174086.

The spelling of 1532480040 in words is "one billion, five hundred thirty-two million, four hundred eighty thousand, forty".