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149640480 = 25335114767
BaseRepresentation
bin10001110101101…
…01010100100000
3101102120112011000
420322311110200
5301301443410
622503152000
73464631423
oct1072652440
9342515130
10149640480
1177517120
1242145600
1325004382
1415c339ba
15d20cdc0
hex8eb5520

149640480 has 384 divisors, whose sum is σ = 592220160. Its totient is φ = 34974720.

The previous prime is 149640467. The next prime is 149640481. The reversal of 149640480 is 84046941.

It is a happy number.

149640480 is a `hidden beast` number, since 1 + 4 + 9 + 640 + 4 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (149640481) 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, 2233407 + ... + 2233473.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2149640480 is an apocalyptic number.

149640480 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 149640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

149640480 is an abundant number, since it is smaller than the sum of its proper divisors (442579680).

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

149640480 is a wasteful number, since it uses less digits than its factorization.

149640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 149640480 is about 12232.7625661581. The cubic root of 149640480 is about 530.9044483180.

The spelling of 149640480 in words is "one hundred forty-nine million, six hundred forty thousand, four hundred eighty".