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315064140 = 2235127173239
BaseRepresentation
bin10010110001110…
…111111101001100
3210221211220202020
4102301313331030
51121124023030
651132530140
710544000226
oct2261677514
9727756666
10315064140
11151933396
1289620950
13503736b1
142dbb5416
151c9d7510
hex12c77f4c

315064140 has 96 divisors (see below), whose sum is σ = 898007040. Its totient is φ = 82526976.

The previous prime is 315064093. The next prime is 315064151. The reversal of 315064140 is 41460513.

It is a self number, because there is not a number n which added to its sum of digits gives 315064140.

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, 1318141 + ... + 1318379.

It is an arithmetic number, because the mean of its divisors is an integer number (9354240).

Almost surely, 2315064140 is an apocalyptic number.

315064140 is a gapful number since it is divisible by the number (30) 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 315064140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449003520).

315064140 is an abundant number, since it is smaller than the sum of its proper divisors (582942900).

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

315064140 is a wasteful number, since it uses less digits than its factorization.

315064140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 315064140 is about 17750.0461971230. The cubic root of 315064140 is about 680.4553898864.

The spelling of 315064140 in words is "three hundred fifteen million, sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 173 239 254 346 381 478 508 519 635 692 717 762 865 956 1038 1195 1270 1434 1524 1730 1905 2076 2390 2540 2595 2868 3460 3585 3810 4780 5190 7170 7620 10380 14340 21971 30353 41347 43942 60706 65913 82694 87884 91059 109855 121412 124041 131826 151765 165388 182118 206735 219710 248082 263652 303530 329565 364236 413470 439420 455295 496164 607060 620205 659130 826940 910590 1240410 1318260 1821180 2480820 5251069 10502138 15753207 21004276 26255345 31506414 52510690 63012828 78766035 105021380 157532070 315064140