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147315120 = 2435613813
BaseRepresentation
bin10001100011111…
…01100110110000
3101021012101100120
420301331212300
5300203040440
622341250240
73436105101
oct1061754660
9337171316
10147315120
1176179037
1241403980
132469bb14
14157ca3a8
15cdeddd0
hex8c7d9b0

147315120 has 40 divisors (see below), whose sum is σ = 456677616. Its totient is φ = 39283968.

The previous prime is 147315109. The next prime is 147315121. The reversal of 147315120 is 21513741.

147315120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1473151202 = 43403489161228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (147315121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306667 + ... + 307146.

Almost surely, 2147315120 is an apocalyptic number.

147315120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147315120 is an abundant number, since it is smaller than the sum of its proper divisors (309362496).

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

147315120 is a wasteful number, since it uses less digits than its factorization.

147315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613829 (or 613823 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 147315120 is about 12137.3440257743. The cubic root of 147315120 is about 528.1400569683.

Adding to 147315120 its reverse (21513741), we get a palindrome (168828861).

The spelling of 147315120 in words is "one hundred forty-seven million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 613813 1227626 1841439 2455252 3069065 3682878 4910504 6138130 7365756 9207195 9821008 12276260 14731512 18414390 24552520 29463024 36828780 49105040 73657560 147315120