Search a number
-
+
318715120 = 24519307683
BaseRepresentation
bin10010111111110…
…011010011110000
3211012201101221201
4102333303103300
51123042340440
651343100544
710620014413
oct2277632360
9735641851
10318715120
111539a7429
128a8a1754
1351051439
1430485b7a
151cea919a
hex12ff34f0

318715120 has 80 divisors (see below), whose sum is σ = 783699840. Its totient is φ = 120206592.

The previous prime is 318715093. The next prime is 318715147. The reversal of 318715120 is 21517813.

It is an interprime number because it is at equal distance from previous prime (318715093) and next prime (318715147).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3187151202 = 203158655433228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466299 + ... + 466981.

It is an arithmetic number, because the mean of its divisors is an integer number (9796248).

Almost surely, 2318715120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318715120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391849920).

318715120 is an abundant number, since it is smaller than the sum of its proper divisors (464984720).

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

318715120 is a wasteful number, since it uses less digits than its factorization.

318715120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 318715120 is about 17852.5942092459. The cubic root of 318715120 is about 683.0736865350.

The spelling of 318715120 in words is "three hundred eighteen million, seven hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 307 380 614 683 760 1228 1366 1520 1535 2456 2732 3070 3415 4912 5464 5833 6140 6830 10928 11666 12280 12977 13660 23332 24560 25954 27320 29165 46664 51908 54640 58330 64885 93328 103816 116660 129770 207632 209681 233320 259540 419362 466640 519080 838724 1038160 1048405 1677448 2096810 3354896 3983939 4193620 7967878 8387240 15935756 16774480 19919695 31871512 39839390 63743024 79678780 159357560 318715120