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315275136 = 27311101739
BaseRepresentation
bin10010110010101…
…011011110000000
3210222020122011220
4102302223132000
51121202301021
651141235040
710545536331
oct2262533600
9728218156
10315275136
11151a67970
1289702a80
1350418747
142dc2c288
151ca29cc6
hex12cab780

315275136 has 128 divisors (see below), whose sum is σ = 923875200. Its totient is φ = 94464000.

The previous prime is 315275131. The next prime is 315275137. The reversal of 315275136 is 631572513.

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

It is a super-2 number, since 2×3152751362 = 198796822759636992, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 315275097 and 315275106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315275131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 426255 + ... + 426993.

It is an arithmetic number, because the mean of its divisors is an integer number (7217775).

Almost surely, 2315275136 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 315275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461937600).

315275136 is an abundant number, since it is smaller than the sum of its proper divisors (608600064).

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

315275136 is a wasteful number, since it uses less digits than its factorization.

315275136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 856 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 315275136 is about 17755.9887361983. The cubic root of 315275136 is about 680.6072545484.

It can be divided in two parts, 31527 and 5136, that added together give a palindrome (36663).

The spelling of 315275136 in words is "three hundred fifteen million, two hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 128 132 176 192 202 264 303 352 384 404 528 606 704 739 808 1056 1111 1212 1408 1478 1616 2112 2217 2222 2424 2956 3232 3333 4224 4434 4444 4848 5912 6464 6666 8129 8868 8888 9696 11824 12928 13332 16258 17736 17776 19392 23648 24387 26664 32516 35472 35552 38784 47296 48774 53328 65032 70944 71104 74639 94592 97548 106656 130064 141888 142208 149278 195096 213312 223917 260128 283776 298556 390192 426624 447834 520256 597112 780384 821029 895668 1040512 1194224 1560768 1642058 1791336 2388448 2463087 3121536 3284116 3582672 4776896 4926174 6568232 7165344 9553792 9852348 13136464 14330688 19704696 26272928 28661376 39409392 52545856 78818784 105091712 157637568 315275136