Search a number
-
+
315376620 = 223513439403
BaseRepresentation
bin10010110011000…
…100001111101100
3210222102210101120
4102303010033230
51121214022440
651143340540
710546441236
oct2263041754
9728383346
10315376620
11152027139
1289751750
13504529b0
142dc57256
151ca49dd0
hex12cc43ec

315376620 has 96 divisors (see below), whose sum is σ = 973201152. Its totient is φ = 75817728.

The previous prime is 315376619. The next prime is 315376651. The reversal of 315376620 is 26673513.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28839 + ... + 38241.

It is an arithmetic number, because the mean of its divisors is an integer number (10137512).

Almost surely, 2315376620 is an apocalyptic number.

315376620 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 315376620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486600576).

315376620 is an abundant number, since it is smaller than the sum of its proper divisors (657824532).

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

315376620 is a wasteful number, since it uses less digits than its factorization.

315376620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471 (or 9469 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 315376620 is about 17758.8462463078. The cubic root of 315376620 is about 680.6802736662.

The spelling of 315376620 in words is "three hundred fifteen million, three hundred seventy-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 2236 2580 2795 3354 5590 6708 8385 9403 11180 16770 18806 28209 33540 37612 47015 56418 94030 112836 122239 141045 188060 244478 282090 366717 404329 488956 564180 611195 733434 808658 1212987 1222390 1466868 1617316 1833585 2021645 2425974 2444780 3667170 4043290 4851948 5256277 6064935 7334340 8086580 10512554 12129870 15768831 21025108 24259740 26281385 31537662 52562770 63075324 78844155 105125540 157688310 315376620