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147164416 = 287412003
BaseRepresentation
bin10001100010110…
…00110100000000
3101020220201121221
420301120310000
5300133230131
622334124424
73434606530
oct1061306400
9336821557
10147164416
1176085893
1241350714
1324648349
141578b4c0
15cdbe411
hex8c58d00

147164416 has 72 divisors (see below), whose sum is σ = 344078784. Its totient is φ = 61501440.

The previous prime is 147164389. The next prime is 147164509. The reversal of 147164416 is 614461741.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72471 + ... + 74473.

It is an arithmetic number, because the mean of its divisors is an integer number (4778872).

Almost surely, 2147164416 is an apocalyptic number.

147164416 is a gapful number since it is divisible by the number (16) 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 147164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172039392).

147164416 is an abundant number, since it is smaller than the sum of its proper divisors (196914368).

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

147164416 is an equidigital number, since it uses as much as digits as its factorization.

147164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2053 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 147164416 is about 12131.1341596736. The cubic root of 147164416 is about 527.9598990053.

The spelling of 147164416 in words is "one hundred forty-seven million, one hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 574 656 896 1148 1312 1792 2003 2296 2624 4006 4592 5248 8012 9184 10496 14021 16024 18368 28042 32048 36736 56084 64096 73472 82123 112168 128192 164246 224336 256384 328492 448672 512768 574861 656984 897344 1149722 1313968 1794688 2299444 2627936 3589376 4598888 5255872 9197776 10511744 18395552 21023488 36791104 73582208 147164416