Search a number
-
+
149446080 = 2633572353
BaseRepresentation
bin10001110100001…
…01110111000000
3101102012122111000
420322011313000
5301224233310
622455052000
73463161600
oct1072056700
9342178430
10149446080
11773a4063
1242071000
1324c66a44
1415bc2c00
15d1c04c0
hex8e85dc0

149446080 has 336 divisors, whose sum is σ = 615025440. Its totient is φ = 34062336.

The previous prime is 149446079. The next prime is 149446093. The reversal of 149446080 is 80644941.

It is a happy number.

149446080 is a `hidden beast` number, since 1 + 4 + 9 + 44 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 423184 + ... + 423536.

Almost surely, 2149446080 is an apocalyptic number.

149446080 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 149446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307512720).

149446080 is an abundant number, since it is smaller than the sum of its proper divisors (465579360).

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

149446080 is a wasteful number, since it uses less digits than its factorization.

149446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 149446080 is about 12224.8141090161. The cubic root of 149446080 is about 530.6744469397.

Adding to 149446080 its sum of digits (36), we get a triangular number (149446116 = T17288).

It can be divided in two parts, 1494 and 46080, that added together give a palindrome (47574).

The spelling of 149446080 in words is "one hundred forty-nine million, four hundred forty-six thousand, eighty".