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149327640 = 233257115387
BaseRepresentation
bin10001110011010…
…00111100011000
3101101222122000100
420321220330120
5301211441030
622452335400
73462156360
oct1071507430
9341878010
10149327640
1177323080
1242014560
1324c24b67
1415b919a0
15d19a360
hex8e68f18

149327640 has 192 divisors, whose sum is σ = 605180160. Its totient is φ = 31023360.

The previous prime is 149327639. The next prime is 149327683. The reversal of 149327640 is 46723941.

149327640 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 2 + 7 + 640 = 666.

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 = 149327595 and 149327604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25027 + ... + 30413.

It is an arithmetic number, because the mean of its divisors is an integer number (3151980).

Almost surely, 2149327640 is an apocalyptic number.

149327640 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 149327640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302590080).

149327640 is an abundant number, since it is smaller than the sum of its proper divisors (455852520).

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

149327640 is a wasteful number, since it uses less digits than its factorization.

149327640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 149327640 is about 12219.9689033974. The cubic root of 149327640 is about 530.5342186758.

The spelling of 149327640 in words is "one hundred forty-nine million, three hundred twenty-seven thousand, six hundred forty".