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315001380 = 223519214543
BaseRepresentation
bin10010110001101…
…000101000100100
3210221201201122210
4102301220220210
51121120021010
651131323420
710543316241
oct2261505044
9727651583
10315001380
111518a0221
12895b0570
1350350c65
142db9a5c8
151c9c3b20
hex12c68a24

315001380 has 72 divisors (see below), whose sum is σ = 930932352. Its totient is φ = 79573824.

The previous prime is 315001363. The next prime is 315001397. The reversal of 315001380 is 83100513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315001363) and next prime (315001397).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14389 + ... + 28931.

It is an arithmetic number, because the mean of its divisors is an integer number (12929616).

Almost surely, 2315001380 is an apocalyptic number.

315001380 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 315001380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465466176).

315001380 is an abundant number, since it is smaller than the sum of its proper divisors (615930972).

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

315001380 is a wasteful number, since it uses less digits than its factorization.

315001380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14593 (or 14572 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 315001380 is about 17748.2782263520. The cubic root of 315001380 is about 680.4102052073.

Adding to 315001380 its reverse (83100513), we get a palindrome (398101893).

The spelling of 315001380 in words is "three hundred fifteen million, one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 7220 10830 14543 21660 29086 43629 58172 72715 87258 145430 174516 218145 276317 290860 436290 552634 828951 872580 1105268 1381585 1657902 2763170 3315804 4144755 5250023 5526340 8289510 10500046 15750069 16579020 21000092 26250115 31500138 52500230 63000276 78750345 105000460 157500690 315001380