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149722560 = 26335133143
BaseRepresentation
bin10001110110010…
…01010111000000
3101102201200202000
420323021113000
5301312110220
622505024000
73465422631
oct1073112700
9342650660
10149722560
1177572859
1242185000
1325032840
1415c55888
15d227390
hex8ec95c0

149722560 has 448 divisors, whose sum is σ = 600821760. Its totient is φ = 34836480.

The previous prime is 149722549. The next prime is 149722567. The reversal of 149722560 is 65227941.

149722560 is a `hidden beast` number, since 1 + 4 + 97 + 2 + 2 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149722567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3481899 + ... + 3481941.

It is an arithmetic number, because the mean of its divisors is an integer number (1341120).

Almost surely, 2149722560 is an apocalyptic number.

149722560 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 149722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300410880).

149722560 is an abundant number, since it is smaller than the sum of its proper divisors (451099200).

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

149722560 is a wasteful number, since it uses less digits than its factorization.

149722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 149722560 is about 12236.1170311500. The cubic root of 149722560 is about 531.0015002032.

The spelling of 149722560 in words is "one hundred forty-nine million, seven hundred twenty-two thousand, five hundred sixty".