Search a number
-
+
149276160 = 29325111931
BaseRepresentation
bin10001110010111…
…00011000000000
3101101220000101200
420321130120000
5301203314120
622451301200
73461553315
oct1071343000
9341800350
10149276160
1177298430
1241baa800
1324c075b7
1415b7ad0c
15d189e90
hex8e5c600

149276160 has 480 divisors, whose sum is σ = 612817920. Its totient is φ = 33177600.

The previous prime is 149276147. The next prime is 149276173. The reversal of 149276160 is 61672941.

149276160 is a `hidden beast` number, since 1 + 492 + 7 + 6 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (149276147) and next prime (149276173).

It is a tau number, because it is divible by the number of its divisors (480).

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, 4815345 + ... + 4815375.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 2149276160 is an apocalyptic number.

149276160 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 149276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306408960).

149276160 is an abundant number, since it is smaller than the sum of its proper divisors (463541760).

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

149276160 is a wasteful number, since it uses less digits than its factorization.

149276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 149276160 is about 12217.8623334853. The cubic root of 149276160 is about 530.4732452781.

The spelling of 149276160 in words is "one hundred forty-nine million, two hundred seventy-six thousand, one hundred sixty".