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147193368 = 23372773163
BaseRepresentation
bin10001100010111…
…11111000011000
3101020222012100020
420301133320120
5300140141433
622334510440
73435060120
oct1061377030
9336865306
10147193368
11760a5613
1241365420
132465858a
1415797c80
15cdc7cb3
hex8c5fe18

147193368 has 64 divisors (see below), whose sum is σ = 422204160. Its totient is φ = 41890176.

The previous prime is 147193337. The next prime is 147193369. The reversal of 147193368 is 863391741.

147193368 is digitally balanced in base 2, 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147193369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44955 + ... + 48117.

It is an arithmetic number, because the mean of its divisors is an integer number (6596940).

Almost surely, 2147193368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147193368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211102080).

147193368 is an abundant number, since it is smaller than the sum of its proper divisors (275010792).

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

147193368 is a wasteful number, since it uses less digits than its factorization.

147193368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3452 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 147193368 is about 12132.3273941977. The cubic root of 147193368 is about 527.9945189973.

The spelling of 147193368 in words is "one hundred forty-seven million, one hundred ninety-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 277 554 831 1108 1662 1939 2216 3163 3324 3878 5817 6326 6648 7756 9489 11634 12652 15512 18978 22141 23268 25304 37956 44282 46536 66423 75912 88564 132846 177128 265692 531384 876151 1752302 2628453 3504604 5256906 6133057 7009208 10513812 12266114 18399171 21027624 24532228 36798342 49064456 73596684 147193368