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8512406420 = 2257243792557
BaseRepresentation
bin1111110110110000…
…10000001110010100
3210222020121001100212
413323120100032110
5114413134001140
63524402224552
7420642155300
oct77330201624
923866531325
108512406420
113679038a31
121796955158
13a5875019b
145aa76cd00
1534c4b4765
hex1fb610394

8512406420 has 144 divisors (see below), whose sum is σ = 21555959040. Its totient is φ = 2813481216.

The previous prime is 8512406359. The next prime is 8512406423. The reversal of 8512406420 is 246042158.

It is a super-2 number, since 2×85124064202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8512406423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3327782 + ... + 3330338.

It is an arithmetic number, because the mean of its divisors is an integer number (149694160).

Almost surely, 28512406420 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 8512406420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777979520).

8512406420 is an abundant number, since it is smaller than the sum of its proper divisors (13043552620).

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

8512406420 is a wasteful number, since it uses less digits than its factorization.

8512406420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 8512406420 is about 92262.7032987870. The cubic root of 8512406420 is about 2041.8199844955.

Adding to 8512406420 its reverse (246042158), we get a palindrome (8758448578).

The spelling of 8512406420 in words is "eight billion, five hundred twelve million, four hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 79 86 98 140 158 172 196 215 245 301 316 395 430 490 553 602 790 860 980 1106 1204 1505 1580 2107 2212 2557 2765 3010 3397 3871 4214 5114 5530 6020 6794 7742 8428 10228 10535 11060 12785 13588 15484 16985 17899 19355 21070 23779 25570 33970 35798 38710 42140 47558 51140 67940 71596 77420 89495 95116 109951 118895 125293 166453 178990 202003 219902 237790 250586 332906 357980 404006 439804 475580 501172 549755 626465 665812 769657 808012 832265 1010015 1099510 1252930 1414021 1539314 1664530 2020030 2199020 2505860 2828042 3078628 3329060 3848285 4040060 5387599 5656084 7070105 7696570 8686129 9898147 10775198 14140210 15393140 17372258 19796294 21550396 26937995 28280420 34744516 39592588 43430645 49490735 53875990 60802903 86861290 98981470 107751980 121605806 173722580 197962940 243211612 304014515 425620321 608029030 851240642 1216058060 1702481284 2128101605 4256203210 8512406420