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149264640 = 283357617
BaseRepresentation
bin10001110010110…
…01100100000000
3101101212102121000
420321121210000
5301202432030
622451132000
73461504610
oct1071314400
9341772530
10149264640
117728a808
1241ba4000
1324c02295
1415b76a40
15d186860
hex8e59900

149264640 has 288 divisors, whose sum is σ = 606332160. Its totient is φ = 34062336.

The previous prime is 149264629. The next prime is 149264657. The reversal of 149264640 is 46462941.

149264640 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 149264595 and 149264604.

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, 241612 + ... + 242228.

It is an arithmetic number, because the mean of its divisors is an integer number (2105320).

Almost surely, 2149264640 is an apocalyptic number.

149264640 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 149264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303166080).

149264640 is an abundant number, since it is smaller than the sum of its proper divisors (457067520).

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

149264640 is an equidigital number, since it uses as much as digits as its factorization.

149264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 149264640 is about 12217.3908834906. The cubic root of 149264640 is about 530.4595989620.

The spelling of 149264640 in words is "one hundred forty-nine million, two hundred sixty-four thousand, six hundred forty".