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1268899840 = 2135132383
BaseRepresentation
bin100101110100001…
…1110000000000000
310021102122210100101
41023220132000000
510044314243330
6325524532144
743305320305
oct11350360000
93242583311
101268899840
115a129625a
122b4b51054
13172b69310
14c07470ac
15765ea4ca
hex4ba1e000

1268899840 has 112 divisors (see below), whose sum is σ = 3280794048. Its totient is φ = 468320256.

The previous prime is 1268899837. The next prime is 1268899889. The reversal of 1268899840 is 489988621.

It is a super-2 number, since 2×12688998402 = 3220213607904051200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531289 + ... + 533671.

It is an arithmetic number, because the mean of its divisors is an integer number (29292804).

Almost surely, 21268899840 is an apocalyptic number.

1268899840 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 1268899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640397024).

1268899840 is an abundant number, since it is smaller than the sum of its proper divisors (2011894208).

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

1268899840 is an equidigital number, since it uses as much as digits as its factorization.

1268899840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The square root of 1268899840 is about 35621.6204010991. The cubic root of 1268899840 is about 1082.6193394450.

The spelling of 1268899840 in words is "one billion, two hundred sixty-eight million, eight hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2383 2560 3328 4096 4160 4766 5120 6656 8192 8320 9532 10240 11915 13312 16640 19064 20480 23830 26624 30979 33280 38128 40960 47660 53248 61958 66560 76256 95320 106496 123916 133120 152512 154895 190640 247832 266240 305024 309790 381280 495664 532480 610048 619580 762560 991328 1220096 1239160 1525120 1982656 2440192 2478320 3050240 3965312 4880384 4956640 6100480 7930624 9760768 9913280 12200960 15861248 19521536 19826560 24401920 31722496 39653120 48803840 63444992 79306240 97607680 126889984 158612480 253779968 317224960 634449920 1268899840