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149710880 = 2551131937
BaseRepresentation
bin10001110110001…
…10100000100000
3101102201002201102
420323012200200
5301311222010
622504453532
73465343604
oct1073064040
9342632642
10149710880
1177565000
124217a2a8
132502a427
1415c51504
15d223ba5
hex8ec6820

149710880 has 192 divisors, whose sum is σ = 420577920. Its totient is φ = 50181120.

The previous prime is 149710837. The next prime is 149710901. The reversal of 149710880 is 88017941.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4046222 + ... + 4046258.

It is an arithmetic number, because the mean of its divisors is an integer number (2190510).

Almost surely, 2149710880 is an apocalyptic number.

149710880 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 149710880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210288960).

149710880 is an abundant number, since it is smaller than the sum of its proper divisors (270867040).

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

149710880 is a wasteful number, since it uses less digits than its factorization.

149710880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 149710880 is about 12235.6397462495. The cubic root of 149710880 is about 530.9876918660.

The spelling of 149710880 in words is "one hundred forty-nine million, seven hundred ten thousand, eight hundred eighty".