Search a number
-
+
1260220808 = 23721121632
BaseRepresentation
bin100101100011101…
…0111000110001000
310020211022211221202
41023013113012020
510040104031213
6325014523332
743141462100
oct11307270610
93224284852
101260220808
115973a8600
122b2066548
1317111aab2
14bd528200
1575983b58
hex4b1d7188

1260220808 has 108 divisors (see below), whose sum is σ = 3039943095. Its totient is φ = 487982880.

The previous prime is 1260220769. The next prime is 1260220811. The reversal of 1260220808 is 8080220621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 630110404 + 630110404 = 25102^2 + 25102^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=25102.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7731335 + ... + 7731497.

Almost surely, 21260220808 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 1260220808

1260220808 is an abundant number, since it is smaller than the sum of its proper divisors (1779722287).

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

1260220808 is a wasteful number, since it uses less digits than its factorization.

1260220808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1260220808 is about 35499.5888426894. The cubic root of 1260220808 is about 1080.1453873775.

The spelling of 1260220808 in words is "one billion, two hundred sixty million, two hundred twenty thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 163 196 242 308 326 392 484 539 616 652 847 968 1078 1141 1304 1694 1793 2156 2282 3388 3586 4312 4564 5929 6776 7172 7987 9128 11858 12551 14344 15974 19723 23716 25102 26569 31948 39446 47432 50204 53138 63896 78892 87857 100408 106276 138061 157784 175714 185983 212552 276122 292259 351428 371966 552244 584518 702856 743932 966427 1104488 1169036 1301881 1487864 1932854 2045813 2338072 2603762 3214849 3865708 4091626 5207524 6429698 7731416 8183252 10415048 12859396 14320691 16366504 22503943 25718792 28641382 45007886 57282764 90015772 114565528 157527601 180031544 315055202 630110404 1260220808