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1290631264 = 25133179787
BaseRepresentation
bin100110011101101…
…0111100001100000
310022221112212020221
41030323113201200
510120400200024
6332022412424
743661120236
oct11473274140
93287485227
101290631264
1160258940a
12300291114
13177507850
14c35a2956
157848e3e4
hex4ced7860

1290631264 has 48 divisors (see below), whose sum is σ = 2745299088. Its totient is φ = 593736192.

The previous prime is 1290631247. The next prime is 1290631271. The reversal of 1290631264 is 4621360921.

It is a happy number.

It is a super-2 number, since 2×12906312642 = 3331458119228475392, 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, 126979 + ... + 136765.

It is an arithmetic number, because the mean of its divisors is an integer number (57193731).

Almost surely, 21290631264 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 1290631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372649544).

1290631264 is an abundant number, since it is smaller than the sum of its proper divisors (1454667824).

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

1290631264 is a wasteful number, since it uses less digits than its factorization.

1290631264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10119 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 1290631264 is about 35925.3568388680. The cubic root of 1290631264 is about 1088.7647719206.

The spelling of 1290631264 in words is "one billion, two hundred ninety million, six hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 317 416 634 1268 2536 4121 5072 8242 9787 10144 16484 19574 32968 39148 65936 78296 127231 131872 156592 254462 313184 508924 1017848 2035696 3102479 4071392 6204958 12409916 24819832 40332227 49639664 80664454 99279328 161328908 322657816 645315632 1290631264