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313825080 = 23352615209
BaseRepresentation
bin10010101101001…
…001011100111000
3210212111222002010
4102231021130320
51120314400310
651050205520
710530316632
oct2255113470
9725458063
10313825080
11151167478
12891238a0
135002b71a
142d971a52
151c840320
hex12b49738

313825080 has 32 divisors (see below), whose sum is σ = 941475600. Its totient is φ = 83686656.

The previous prime is 313825073. The next prime is 313825081. The reversal of 313825080 is 80528313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313825081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1307485 + ... + 1307724.

Almost surely, 2313825080 is an apocalyptic number.

313825080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313825080 is an abundant number, since it is smaller than the sum of its proper divisors (627650520).

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

313825080 is a wasteful number, since it uses less digits than its factorization.

313825080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615223 (or 2615219 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 313825080 is about 17715.1088057624. The cubic root of 313825080 is about 679.5622037819.

The spelling of 313825080 in words is "three hundred thirteen million, eight hundred twenty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2615209 5230418 7845627 10460836 13076045 15691254 20921672 26152090 31382508 39228135 52304180 62765016 78456270 104608360 156912540 313825080