Search a number
-
+
149164560 = 243253141163
BaseRepresentation
bin10001110010000…
…01001000010000
3101101200100022100
420321001020100
5301141231220
622445040400
73460610046
oct1071011020
9341610270
10149164560
11772215a6
1241b56100
1324b9886c
1415b4c396
15d166d90
hex8e41210

149164560 has 240 divisors, whose sum is σ = 532965888. Its totient is φ = 37324800.

The previous prime is 149164559. The next prime is 149164571. The reversal of 149164560 is 65461941.

149164560 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 645 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915039 + ... + 915201.

Almost surely, 2149164560 is an apocalyptic number.

149164560 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 149164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266482944).

149164560 is an abundant number, since it is smaller than the sum of its proper divisors (383801328).

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

149164560 is a wasteful number, since it uses less digits than its factorization.

149164560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 149164560 is about 12213.2943958622. The cubic root of 149164560 is about 530.3410170346.

The spelling of 149164560 in words is "one hundred forty-nine million, one hundred sixty-four thousand, five hundred sixty".