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1268473340 = 2252943181281
BaseRepresentation
bin100101110011011…
…0101110111111100
310021101212010022002
41023212311313330
510044212121330
6325511441432
743301563001
oct11346656774
93241763262
101268473340
115a1024882
122b4986278
13172a4a154
14c06758a8
1576563e45
hex4b9b5dfc

1268473340 has 96 divisors (see below), whose sum is σ = 2845402560. Its totient is φ = 474163200.

The previous prime is 1268473319. The next prime is 1268473351. The reversal of 1268473340 is 433748621.

It is a super-2 number, since 2×12684733402 = 3218049228581511200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1268473294 and 1268473303.

It is a congruent number.

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, 4514000 + ... + 4514280.

It is an arithmetic number, because the mean of its divisors is an integer number (29639610).

Almost surely, 21268473340 is an apocalyptic number.

1268473340 is a gapful number since it is divisible by the number (10) 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 1268473340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422701280).

1268473340 is an abundant number, since it is smaller than the sum of its proper divisors (1576929220).

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

1268473340 is a wasteful number, since it uses less digits than its factorization.

1268473340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 1268473340 is about 35615.6333651390. The cubic root of 1268473340 is about 1082.4980299253.

The spelling of 1268473340 in words is "one billion, two hundred sixty-eight million, four hundred seventy-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 181 215 281 290 362 430 562 580 724 860 905 1124 1247 1405 1810 2494 2810 3620 4988 5249 5620 6235 7783 8149 10498 12083 12470 15566 16298 20996 24166 24940 26245 31132 32596 38915 40745 48332 50861 52490 60415 77830 81490 101722 104980 120830 155660 162980 203444 225707 241660 254305 350407 451414 508610 700814 902828 1017220 1128535 1401628 1474969 1752035 2187023 2257070 2949938 3504070 4374046 4514140 5899876 7008140 7374845 8748092 10935115 14749690 21870230 29499380 43740460 63423667 126847334 253694668 317118335 634236670 1268473340