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147388072 = 231312711159
BaseRepresentation
bin10001100100011…
…11011010101000
3101021100002102111
420302033122220
5300212404242
622343012104
73436530556
oct1062173250
9337302374
10147388072
1176218927
124143a034
13246c60a0
1415808bd6
15ce15817
hex8c8f6a8

147388072 has 32 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 67483584.

The previous prime is 147388067. The next prime is 147388081. The reversal of 147388072 is 270883741.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7629 + ... + 18787.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2147388072 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 147388072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

147388072 is an abundant number, since it is smaller than the sum of its proper divisors (152592728).

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

147388072 is a wasteful number, since it uses less digits than its factorization.

147388072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11305 (or 11301 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 147388072 is about 12140.3489241455. The cubic root of 147388072 is about 528.2272227556.

The spelling of 147388072 in words is "one hundred forty-seven million, three hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 104 127 254 508 1016 1651 3302 6604 11159 13208 22318 44636 89272 145067 290134 580268 1160536 1417193 2834386 5668772 11337544 18423509 36847018 73694036 147388072