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315480 = 233511239
BaseRepresentation
bin1001101000001011000
3121000202110
41031001120
540043410
610432320
72452524
oct1150130
9530673
10315480
111a6030
121326a0
13b0799
1482d84
1563720
hex4d058

315480 has 64 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 76160.

The previous prime is 315467. The next prime is 315481. The reversal of 315480 is 84513.

Adding to 315480 its reverse (84513), we get a palindrome (399993).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315480.

It is not an unprimeable number, because it can be changed into a prime (315481) by changing a digit.

315480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2315480 is an apocalyptic number.

315480 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 315480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

315480 is an abundant number, since it is smaller than the sum of its proper divisors (721320).

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

315480 is a wasteful number, since it uses less digits than its factorization.

315480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 315480 is about 561.6760632251. The cubic root of 315480 is about 68.0754640877.

The spelling of 315480 in words is "three hundred fifteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 239 264 330 440 478 660 717 956 1195 1320 1434 1912 2390 2629 2868 3585 4780 5258 5736 7170 7887 9560 10516 13145 14340 15774 21032 26290 28680 31548 39435 52580 63096 78870 105160 157740 315480