Search a number
-
+
136669680 = 24345723131
BaseRepresentation
bin10000010010101…
…10100111110000
3100112011112120000
420021112213300
5234441412210
621321150000
73246446610
oct1011264760
9315145500
10136669680
1170167a54
123992b300
1322412544
1414218a40
15bee9ac0
hex82569f0

136669680 has 400 divisors, whose sum is σ = 570392064. Its totient is φ = 29652480.

The previous prime is 136669667. The next prime is 136669691. The reversal of 136669680 is 86966631.

136669680 = T19 + T20 + ... + T935.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1043215 + ... + 1043345.

Almost surely, 2136669680 is an apocalyptic number.

136669680 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 136669680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285196032).

136669680 is an abundant number, since it is smaller than the sum of its proper divisors (433722384).

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

136669680 is a wasteful number, since it uses less digits than its factorization.

136669680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 136669680 is about 11690.5808238941. The cubic root of 136669680 is about 515.0990226532.

The spelling of 136669680 in words is "one hundred thirty-six million, six hundred sixty-nine thousand, six hundred eighty".