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148172640 = 253571119211
BaseRepresentation
bin10001101010011…
…10111101100000
3101022210221122120
420311032331200
5300413011030
622411504240
73446306130
oct1065167540
9338727576
10148172640
1176704330
1241758080
132490c225
1415970ac0
15d01d010
hex8d4ef60

148172640 has 384 divisors, whose sum is σ = 615444480. Its totient is φ = 29030400.

The previous prime is 148172639. The next prime is 148172657. The reversal of 148172640 is 46271841.

148172640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) 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 (33).

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, 702135 + ... + 702345.

It is an arithmetic number, because the mean of its divisors is an integer number (1602720).

Almost surely, 2148172640 is an apocalyptic number.

148172640 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 148172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307722240).

148172640 is an abundant number, since it is smaller than the sum of its proper divisors (467271840).

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

148172640 is a wasteful number, since it uses less digits than its factorization.

148172640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 148172640 is about 12172.6184529049. The cubic root of 148172640 is about 529.1628411762.

The spelling of 148172640 in words is "one hundred forty-eight million, one hundred seventy-two thousand, six hundred forty".