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1287223056 = 243371512819
BaseRepresentation
bin100110010111001…
…0111011100010000
310022201010201002000
41030232113130100
510114012114211
6331421354000
743620133620
oct11456273420
93281121060
101287223056
11600670809
122bb108900
131768b3462
14c2d56880
1578019656
hex4cb97710

1287223056 has 160 divisors (see below), whose sum is σ = 4252108800. Its totient is φ = 365212800.

The previous prime is 1287223043. The next prime is 1287223073. The reversal of 1287223056 is 6503227821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1287223056.

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, 455215 + ... + 458033.

It is an arithmetic number, because the mean of its divisors is an integer number (26575680).

Almost surely, 21287223056 is an apocalyptic number.

1287223056 is a gapful number since it is divisible by the number (16) 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 1287223056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126054400).

1287223056 is an abundant number, since it is smaller than the sum of its proper divisors (2964885744).

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

1287223056 is a wasteful number, since it uses less digits than its factorization.

1287223056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1287223056 is about 35877.8909079115. The cubic root of 1287223056 is about 1087.8055493395.

1287223056 divided by its sum of digits (36) gives a triangular number (35756196 = T8456).

The spelling of 1287223056 in words is "one billion, two hundred eighty-seven million, two hundred twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 151 168 189 216 252 302 336 378 432 453 504 604 756 906 1008 1057 1208 1359 1512 1812 2114 2416 2718 2819 3024 3171 3624 4077 4228 5436 5638 6342 7248 8154 8456 8457 9513 10872 11276 12684 16308 16912 16914 19026 19733 21744 22552 25368 25371 28539 32616 33828 38052 39466 45104 50736 50742 57078 59199 65232 67656 76104 76113 78932 101484 114156 118398 135312 152208 152226 157864 177597 202968 228312 236796 304452 315728 355194 405936 425669 456624 473592 532791 608904 710388 851338 947184 1065582 1217808 1277007 1420776 1702676 2131164 2554014 2841552 2979683 3405352 3831021 4262328 5108028 5959366 6810704 7662042 8524656 8939049 10216056 11493063 11918732 15324084 17878098 20432112 22986126 23837464 26817147 30648168 35756196 45972252 47674928 53634294 61296336 71512392 80451441 91944504 107268588 143024784 160902882 183889008 214537176 321805764 429074352 643611528 1287223056