Search a number
-
+
132870402 = 233717232931
BaseRepresentation
bin1111110101101…
…11000100000010
3100021000111221000
413322313010002
5233003323102
621103512430
73202244160
oct772670402
9307014830
10132870402
1169002555
12385b8716
13216b2152
141390a230
15b9e901c
hex7eb7102

132870402 has 256 divisors, whose sum is σ = 398131200. Its totient is φ = 31933440.

The previous prime is 132870391. The next prime is 132870403. The reversal of 132870402 is 204078231.

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

It is not an unprimeable number, because it can be changed into a prime (132870403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4286127 + ... + 4286157.

It is an arithmetic number, because the mean of its divisors is an integer number (1555200).

Almost surely, 2132870402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132870402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199065600).

132870402 is an abundant number, since it is smaller than the sum of its proper divisors (265260798).

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

132870402 is a wasteful number, since it uses less digits than its factorization.

132870402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132870402 is about 11526.9424393462. The cubic root of 132870402 is about 510.2810215929.

The spelling of 132870402 in words is "one hundred thirty-two million, eight hundred seventy thousand, four hundred two".