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147395040 = 25351322379
BaseRepresentation
bin10001100100100…
…01000111100000
3101021100102222120
420302101013200
5300213120130
622343104240
73436560102
oct1062210740
9337312876
10147395040
1176223091
1241442080
13246c9300
141580b572
15ce17910
hex8c911e0

147395040 has 288 divisors, whose sum is σ = 531256320. Its totient is φ = 34265088.

The previous prime is 147395021. The next prime is 147395051. The reversal of 147395040 is 40593741.

147395040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 147394992 and 147395010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1865721 + ... + 1865799.

It is an arithmetic number, because the mean of its divisors is an integer number (1844640).

Almost surely, 2147395040 is an apocalyptic number.

147395040 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 147395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265628160).

147395040 is an abundant number, since it is smaller than the sum of its proper divisors (383861280).

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

147395040 is a wasteful number, since it uses less digits than its factorization.

147395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 147395040 is about 12140.6358976785. The cubic root of 147395040 is about 528.2355468785.

The spelling of 147395040 in words is "one hundred forty-seven million, three hundred ninety-five thousand, forty".