Search a number
-
+
1290226520 = 2351110129033
BaseRepresentation
bin100110011100111…
…0100101101011000
310022220210022001102
41030321310231120
510120244222040
6332010010532
743654513232
oct11471645530
93286708042
101290226520
11602332310
12300116a48
131773c555b
14c34d9252
157840e515
hex4ce74b58

1290226520 has 64 divisors (see below), whose sum is σ = 3198385440. Its totient is φ = 464512000.

The previous prime is 1290226493. The next prime is 1290226579. The reversal of 1290226520 is 256220921.

It is a super-2 number, since 2×12902265202 = 3329368945822620800, 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 15 ways as a sum of consecutive naturals, for example, 29924 + ... + 58956.

Almost surely, 21290226520 is an apocalyptic number.

1290226520 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 1290226520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599192720).

1290226520 is an abundant number, since it is smaller than the sum of its proper divisors (1908158920).

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

1290226520 is a wasteful number, since it uses less digits than its factorization.

1290226520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29156 (or 29152 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1290226520 is about 35919.7232728761. The cubic root of 1290226520 is about 1088.6509472380.

The spelling of 1290226520 in words is "one billion, two hundred ninety million, two hundred twenty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 29033 44440 58066 116132 145165 232264 290330 319363 580660 638726 1161320 1277452 1596815 2554904 2932333 3193630 5864666 6387260 11729332 12774520 14661665 23458664 29323330 32255663 58646660 64511326 117293320 129022652 161278315 258045304 322556630 645113260 1290226520