Search a number
-
+
1532312704 = 27132413821
BaseRepresentation
bin101101101010101…
…0011110010000000
310221210022112212101
41123111103302000
511114233001304
6412014440144
752654304656
oct13325236200
93853275771
101532312704
11716a5023a
12369203054
131b55c6b10
14107714dd6
158e7cd8a4
hex5b553c80

1532312704 has 64 divisors (see below), whose sum is σ = 3301978680. Its totient is φ = 704102400.

The previous prime is 1532312669. The next prime is 1532312723. The reversal of 1532312704 is 4072132351.

It can be written as a sum of positive squares in 4 ways, for example, as 1455575104 + 76737600 = 38152^2 + 8760^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399114 + ... + 402934.

Almost surely, 21532312704 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 1532312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650989340).

1532312704 is an abundant number, since it is smaller than the sum of its proper divisors (1769665976).

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

1532312704 is a wasteful number, since it uses less digits than its factorization.

1532312704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 1532312704 is about 39144.7659847393. The cubic root of 1532312704 is about 1152.8756523933.

The spelling of 1532312704 in words is "one billion, five hundred thirty-two million, three hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 241 416 482 832 964 1664 1928 3133 3821 3856 6266 7642 7712 12532 15284 15424 25064 30568 30848 49673 50128 61136 99346 100256 122272 198692 200512 244544 397384 401024 489088 794768 920861 1589536 1841722 3179072 3683444 6358144 7366888 11971193 14733776 23942386 29467552 47884772 58935104 95769544 117870208 191539088 383078176 766156352 1532312704