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149705712 = 243313192361
BaseRepresentation
bin10001110110001…
…01001111110000
3101102200211122000
420323011033300
5301311040322
622504414000
73465322542
oct1073051760
9342624560
10149705712
1177561132
1242177300
1325027c80
1415c4d692
15d2223ac
hex8ec53f0

149705712 has 320 divisors, whose sum is σ = 516633600. Its totient is φ = 41057280.

The previous prime is 149705681. The next prime is 149705741. The reversal of 149705712 is 217507941.

It is a happy number.

149705712 is a `hidden beast` number, since 14 + 9 + 70 + 571 + 2 = 666.

149705712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 2454162 + ... + 2454222.

It is an arithmetic number, because the mean of its divisors is an integer number (1614480).

Almost surely, 2149705712 is an apocalyptic number.

149705712 is a gapful number since it is divisible by the number (12) 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 149705712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258316800).

149705712 is an abundant number, since it is smaller than the sum of its proper divisors (366927888).

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

149705712 is a wasteful number, since it uses less digits than its factorization.

149705712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 149705712 is about 12235.4285580849. The cubic root of 149705712 is about 530.9815819205.

The spelling of 149705712 in words is "one hundred forty-nine million, seven hundred five thousand, seven hundred twelve".