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147385440 = 25335109313
BaseRepresentation
bin10001100100011…
…10110001100000
3101021022221211000
420302032301200
5300212313230
622342552000
73436520106
oct1062166140
9337287730
10147385440
1176216954
1241438600
13246c4b27
1415807c76
15ce14b60
hex8c8ec60

147385440 has 192 divisors, whose sum is σ = 522244800. Its totient is φ = 38817792.

The previous prime is 147385417. The next prime is 147385499. The reversal of 147385440 is 44583741.

147385440 is digitally balanced in base 3, 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 junction number, because it is equal to n+sod(n) for n = 147385395 and 147385404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470724 + ... + 471036.

It is an arithmetic number, because the mean of its divisors is an integer number (2720025).

Almost surely, 2147385440 is an apocalyptic number.

147385440 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 147385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261122400).

147385440 is an abundant number, since it is smaller than the sum of its proper divisors (374859360).

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

147385440 is a wasteful number, since it uses less digits than its factorization.

147385440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 147385440 is about 12140.2405248002. The cubic root of 147385440 is about 528.2240784434.

The spelling of 147385440 in words is "one hundred forty-seven million, three hundred eighty-five thousand, four hundred forty".