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315474120 = 233251367409
BaseRepresentation
bin10010110011011…
…100000011001000
3210222121202010200
4102303130003020
51121230132440
651145412200
710550325423
oct2263340310
9728552120
10315474120
11152093415
128979a060
13504881a0
142dc809ba
151ca68c30
hex12cdc0c8

315474120 has 96 divisors (see below), whose sum is σ = 1104175800. Its totient is φ = 77654016.

The previous prime is 315474113. The next prime is 315474149. The reversal of 315474120 is 21474513.

It can be written as a sum of positive squares in 4 ways, for example, as 220879044 + 94595076 = 14862^2 + 9726^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29025 + ... + 38384.

Almost surely, 2315474120 is an apocalyptic number.

315474120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315474120 is an abundant number, since it is smaller than the sum of its proper divisors (788701680).

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

315474120 is a wasteful number, since it uses less digits than its factorization.

315474120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67439 (or 67432 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 315474120 is about 17761.5911449397. The cubic root of 315474120 is about 680.7504114893.

The spelling of 315474120 in words is "three hundred fifteen million, four hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 67409 134818 202227 269636 337045 404454 539272 606681 674090 808908 876317 1011135 1213362 1348180 1617816 1752634 2022270 2426724 2628951 2696360 3033405 3505268 4044540 4381585 4853448 5257902 6066810 7010536 7886853 8089080 8763170 10515804 12133620 13144755 15773706 17526340 21031608 24267240 26289510 31547412 35052680 39434265 52579020 63094824 78868530 105158040 157737060 315474120