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315924040 = 23527728513
BaseRepresentation
bin10010110101001…
…001111001001000
3211000110121022101
4102311021321020
51121334032130
651203203144
710554211225
oct2265117110
9730417271
10315924040
11152370453
12899764b4
13505b4c03
142dd5a94c
151cb071ca
hex12d49e48

315924040 has 32 divisors (see below), whose sum is σ = 713420280. Its totient is φ = 125908992.

The previous prime is 315924023. The next prime is 315924047. The reversal of 315924040 is 40429513.

It can be written as a sum of positive squares in 4 ways, for example, as 278689636 + 37234404 = 16694^2 + 6102^2 .

It is not an unprimeable number, because it can be changed into a prime (315924047) 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 7 ways as a sum of consecutive naturals, for example, 3177 + ... + 25336.

Almost surely, 2315924040 is an apocalyptic number.

It is an amenable number.

315924040 is an abundant number, since it is smaller than the sum of its proper divisors (397496240).

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

315924040 is a wasteful number, since it uses less digits than its factorization.

315924040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28801 (or 28797 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 315924040 is about 17774.2521642965. The cubic root of 315924040 is about 681.0738798996.

The spelling of 315924040 in words is "three hundred fifteen million, nine hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 277 554 1108 1385 2216 2770 5540 11080 28513 57026 114052 142565 228104 285130 570260 1140520 7898101 15796202 31592404 39490505 63184808 78981010 157962020 315924040