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147112640 = 2653791213
BaseRepresentation
bin10001100010011…
…00001011000000
3101020211002121022
420301030023000
5300130101030
622333045012
73434302553
oct1061141300
9336732538
10147112640
117604a9a4
1241326768
132462a8cc
141577669a
15cdadde5
hex8c4c2c0

147112640 has 56 divisors (see below), whose sum is σ = 351525840. Its totient is φ = 58641408.

The previous prime is 147112631. The next prime is 147112643. The reversal of 147112640 is 46211741.

147112640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 121292-1.

It is not an unprimeable number, because it can be changed into a prime (147112643) 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, 120674 + ... + 121886.

Almost surely, 2147112640 is an apocalyptic number.

147112640 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 147112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175762920).

147112640 is an abundant number, since it is smaller than the sum of its proper divisors (204413200).

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

147112640 is a wasteful number, since it uses less digits than its factorization.

147112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 147112640 is about 12128.9999587765. Note that the first 4 decimals coincide. The cubic root of 147112640 is about 527.8979753898.

The spelling of 147112640 in words is "one hundred forty-seven million, one hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 379 758 1213 1516 1895 2426 3032 3790 4852 6064 6065 7580 9704 12128 12130 15160 19408 24256 24260 30320 38816 48520 60640 77632 97040 121280 194080 388160 459727 919454 1838908 2298635 3677816 4597270 7355632 9194540 14711264 18389080 29422528 36778160 73556320 147112640