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315266028 = 223711595783
BaseRepresentation
bin10010110010101…
…001001111101100
3210222020011200120
4102302221033230
51121202003103
651141124540
710545500640
oct2262511754
9728204616
10315266028
11151a61040
12896b9750
135041455c
142dc28c20
151ca27253
hex12ca93ec

315266028 has 96 divisors (see below), whose sum is σ = 932843520. Its totient is φ = 80485440.

The previous prime is 315266023. The next prime is 315266051. The reversal of 315266028 is 820662513.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 315266028.

It is not an unprimeable number, because it can be changed into a prime (315266023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51625 + ... + 57407.

It is an arithmetic number, because the mean of its divisors is an integer number (9717120).

Almost surely, 2315266028 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 315266028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466421760).

315266028 is an abundant number, since it is smaller than the sum of its proper divisors (617577492).

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

315266028 is a wasteful number, since it uses less digits than its factorization.

315266028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 315266028 is about 17755.7322574993. The cubic root of 315266028 is about 680.6007004524.

The spelling of 315266028 in words is "three hundred fifteen million, two hundred sixty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 59 66 77 84 118 132 154 177 231 236 308 354 413 462 649 708 826 924 1239 1298 1652 1947 2478 2596 3894 4543 4956 5783 7788 9086 11566 13629 17349 18172 23132 27258 34698 40481 54516 63613 69396 80962 121443 127226 161924 190839 242886 254452 341197 381678 445291 485772 682394 763356 890582 1023591 1335873 1364788 1781164 2047182 2388379 2671746 3753167 4094364 4776758 5343492 7165137 7506334 9553516 11259501 14330274 15012668 22519002 26272169 28660548 45038004 52544338 78816507 105088676 157633014 315266028