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315475120 = 24517231967
BaseRepresentation
bin10010110011011…
…100010010110000
3210222121210111201
4102303130102300
51121230200440
651145420544
710550331352
oct2263342260
9728553451
10315475120
11152094144
128979a754
135048878c
142dc810d2
151ca6919a
hex12cdc4b0

315475120 has 40 divisors (see below), whose sum is σ = 776628864. Its totient is φ = 118766592.

The previous prime is 315475109. The next prime is 315475141. The reversal of 315475120 is 21574513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 114624 + ... + 117343.

Almost surely, 2315475120 is an apocalyptic number.

It is an amenable number.

315475120 is an abundant number, since it is smaller than the sum of its proper divisors (461153744).

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

315475120 is a wasteful number, since it uses less digits than its factorization.

315475120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231997 (or 231991 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 315475120 is about 17761.6192955485. The cubic root of 315475120 is about 680.7511307767.

The spelling of 315475120 in words is "three hundred fifteen million, four hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 231967 463934 927868 1159835 1855736 2319670 3711472 3943439 4639340 7886878 9278680 15773756 18557360 19717195 31547512 39434390 63095024 78868780 157737560 315475120