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2315306240 = 28513612281
BaseRepresentation
bin1000101000000000…
…1100010100000000
312222100122202001222
42022000030110000
514220204244430
61021425014212
7111242530652
oct21200142400
95870582058
102315306240
11a88a25935
12547484368
132ab8a3cc0
1417d6d46d2
15d83e69e5
hex8a00c500

2315306240 has 144 divisors (see below), whose sum is σ = 6073059216. Its totient is φ = 840499200.

The previous prime is 2315306209. The next prime is 2315306251. The reversal of 2315306240 is 426035132.

It can be written as a sum of positive squares in 8 ways, for example, as 566059264 + 1749246976 = 23792^2 + 41824^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable 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, 1013900 + ... + 1016180.

Almost surely, 22315306240 is an apocalyptic number.

2315306240 is a gapful number since it is divisible by the number (20) 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 2315306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036529608).

2315306240 is an abundant number, since it is smaller than the sum of its proper divisors (3757752976).

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

2315306240 is a wasteful number, since it uses less digits than its factorization.

2315306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2315306240 is about 48117.6292017801. The cubic root of 2315306240 is about 1322.9278140126.

The spelling of 2315306240 in words is "two billion, three hundred fifteen million, three hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 64 65 80 104 122 128 130 160 208 244 256 260 305 320 416 488 520 610 640 793 832 976 1040 1220 1280 1586 1664 1952 2080 2281 2440 3172 3328 3904 3965 4160 4562 4880 6344 7808 7930 8320 9124 9760 11405 12688 15616 15860 16640 18248 19520 22810 25376 29653 31720 36496 39040 45620 50752 59306 63440 72992 78080 91240 101504 118612 126880 139141 145984 148265 182480 203008 237224 253760 278282 291968 296530 364960 474448 507520 556564 583936 593060 695705 729920 948896 1015040 1113128 1186120 1391410 1459840 1808833 1897792 2226256 2372240 2782820 2919680 3617666 3795584 4452512 4744480 5565640 7235332 7591168 8905024 9044165 9488960 11131280 14470664 17810048 18088330 18977920 22262560 28941328 35620096 36176660 37955840 44525120 57882656 72353320 89050240 115765312 144706640 178100480 231530624 289413280 463061248 578826560 1157653120 2315306240