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147308928 = 27313231283
BaseRepresentation
bin10001100011111…
…00000110000000
3101021012001212020
420301330012000
5300202341203
622341201440
73436051044
oct1061740600
9337161766
10147308928
1176174418
1241400280
1324699060
14157c8024
15cdec153
hex8c7c180

147308928 has 128 divisors (see below), whose sum is σ = 440052480. Its totient is φ = 43321344.

The previous prime is 147308921. The next prime is 147308939. The reversal of 147308928 is 829803741.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 147308928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147308921) 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, 114175 + ... + 115457.

It is an arithmetic number, because the mean of its divisors is an integer number (3437910).

Almost surely, 2147308928 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 147308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220026240).

147308928 is an abundant number, since it is smaller than the sum of its proper divisors (292743552).

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

147308928 is a wasteful number, since it uses less digits than its factorization.

147308928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 147308928 is about 12137.0889425760. The cubic root of 147308928 is about 528.1326572096.

The spelling of 147308928 in words is "one hundred forty-seven million, three hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 276 299 312 368 384 416 552 598 624 736 832 897 1104 1196 1248 1283 1472 1664 1794 2208 2392 2496 2566 2944 3588 3849 4416 4784 4992 5132 7176 7698 8832 9568 10264 14352 15396 16679 19136 20528 28704 29509 30792 33358 38272 41056 50037 57408 59018 61584 66716 82112 88527 100074 114816 118036 123168 133432 164224 177054 200148 236072 246336 266864 354108 383617 400296 472144 492672 533728 708216 767234 800592 944288 1067456 1150851 1416432 1534468 1601184 1888576 2134912 2301702 2832864 3068936 3202368 3777152 4603404 5665728 6137872 6404736 9206808 11331456 12275744 18413616 24551488 36827232 49102976 73654464 147308928