Search a number
-
+
32870415204 = 2232112412672
BaseRepresentation
bin11110100111001110…
…101011101101100100
310010211210111002210100
4132213032223231210
51014304311241304
623033411024100
72242362630204
oct364716535544
9103753432710
1032870415204
1112a38546500
12645429b030
13313ac77b33
14183b75c404
15cc5b22439
hex7a73abb64

32870415204 has 243 divisors, whose sum is σ = 95029258233. Its totient is φ = 9572745600.

The previous prime is 32870415187. The next prime is 32870415211. The reversal of 32870415204 is 40251407823.

It is a happy number.

The square root of 32870415204 is 181302.

It is a perfect power (a square), and thus also a powerful number.

32870415204 is a `hidden beast` number, since 3 + 28 + 70 + 41 + 520 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1583880804 + 31286534400 = 39798^2 + 176880^2 .

It is a super-3 number, since 3×328704152043 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 490603179 + ... + 490603245.

Almost surely, 232870415204 is an apocalyptic number.

32870415204 is the 181302-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32870415204

32870415204 is an abundant number, since it is smaller than the sum of its proper divisors (62158843029).

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

32870415204 is a wasteful number, since it uses less digits than its factorization.

32870415204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 32870415204 by its sum of digits (36), we get a square (1183334947344 = 10878122).

32870415204 divided by its sum of digits (36) gives a square (913067089 = 302172).

The spelling of 32870415204 in words is "thirty-two billion, eight hundred seventy million, four hundred fifteen thousand, two hundred four".