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315230720 = 29573359
BaseRepresentation
bin10010110010100…
…000101000000000
3210222011101020212
4102302200220000
51121144340340
651140253252
710545263000
oct2262405000
9728141225
10315230720
11151a37562
12896a1228
135040146c
142dc1a000
151ca1ba65
hex12ca0a00

315230720 has 160 divisors (see below), whose sum is σ = 883872000. Its totient is φ = 107778048.

The previous prime is 315230719. The next prime is 315230749. The reversal of 315230720 is 27032513.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877901 + ... + 878259.

It is an arithmetic number, because the mean of its divisors is an integer number (5524200).

Almost surely, 2315230720 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 315230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441936000).

315230720 is an abundant number, since it is smaller than the sum of its proper divisors (568641280).

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

315230720 is an frugal number, since it uses more digits than its factorization.

315230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 315230720 is about 17754.7379592040. The cubic root of 315230720 is about 680.5752917028.

The spelling of 315230720 in words is "three hundred fifteen million, two hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 343 359 392 448 490 512 560 640 686 718 784 896 980 1120 1280 1372 1436 1568 1715 1792 1795 1960 2240 2513 2560 2744 2872 3136 3430 3584 3590 3920 4480 5026 5488 5744 6272 6860 7180 7840 8960 10052 10976 11488 12544 12565 13720 14360 15680 17591 17920 20104 21952 22976 25088 25130 27440 28720 31360 35182 40208 43904 45952 50260 54880 57440 62720 70364 80416 87808 87955 91904 100520 109760 114880 123137 125440 140728 160832 175616 175910 183808 201040 219520 229760 246274 281456 321664 351820 402080 439040 459520 492548 562912 615685 643328 703640 804160 878080 919040 985096 1125824 1231370 1286656 1407280 1608320 1970192 2251648 2462740 2814560 3216640 3940384 4503296 4925480 5629120 6433280 7880768 9006592 9850960 11258240 15761536 19701920 22516480 31523072 39403840 45032960 63046144 78807680 157615360 315230720