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315054012 = 2237132631097
BaseRepresentation
bin10010110001110…
…101011110111100
3210221211101212010
4102301311132330
51121123212022
651132411220
710543625550
oct2261653674
9727741763
10315054012
11151926819
1289616b10
135036bbc0
142dbb1860
151c9d450c
hex12c757bc

315054012 has 96 divisors (see below), whose sum is σ = 909038592. Its totient is φ = 82699776.

The previous prime is 315054007. The next prime is 315054043. The reversal of 315054012 is 210450513.

It is a super-2 number, since 2×3150540122 = 198518060954592288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 315054012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286648 + ... + 287744.

It is an arithmetic number, because the mean of its divisors is an integer number (9469152).

Almost surely, 2315054012 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 315054012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454519296).

315054012 is an abundant number, since it is smaller than the sum of its proper divisors (593984580).

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

315054012 is a wasteful number, since it uses less digits than its factorization.

315054012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 315054012 is about 17749.7608997981. The cubic root of 315054012 is about 680.4480985393.

The spelling of 315054012 in words is "three hundred fifteen million, fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 263 273 364 526 546 789 1052 1092 1097 1578 1841 2194 3156 3291 3419 3682 4388 5523 6582 6838 7364 7679 10257 11046 13164 13676 14261 15358 20514 22092 23037 23933 28522 30716 41028 42783 46074 47866 57044 71799 85566 92148 95732 99827 143598 171132 199654 287196 288511 299481 399308 577022 598962 865533 1154044 1197924 1731066 2019577 3462132 3750643 4039154 6058731 7501286 8078308 11251929 12117462 15002572 22503858 24234924 26254501 45007716 52509002 78763503 105018004 157527006 315054012