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1292941220 = 225297972797
BaseRepresentation
bin100110100010000…
…1011011110100100
310100002220012220212
41031010023132210
510121443104340
6332144114552
744016550634
oct11504133644
93302805825
101292941220
1160391696a
12301005a58
13177b3609c
14c3a046c4
1578798a65
hex4d10b7a4

1292941220 has 48 divisors (see below), whose sum is σ = 2813333040. Its totient is φ = 498537984.

The previous prime is 1292941217. The next prime is 1292941259. The reversal of 1292941220 is 221492921.

It can be written as a sum of positive squares in 8 ways, for example, as 4418404 + 1288522816 = 2102^2 + 35896^2 .

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, 460862 + ... + 463658.

It is an arithmetic number, because the mean of its divisors is an integer number (58611105).

Almost surely, 21292941220 is an apocalyptic number.

1292941220 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 1292941220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406666520).

1292941220 is an abundant number, since it is smaller than the sum of its proper divisors (1520391820).

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

1292941220 is a wasteful number, since it uses less digits than its factorization.

1292941220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1292941220 is about 35957.4918480141. The cubic root of 1292941220 is about 1089.4139373948.

The spelling of 1292941220 in words is "one billion, two hundred ninety-two million, nine hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 797 1594 2797 3188 3985 5594 7970 11188 13985 15940 23113 27970 46226 55940 81113 92452 115565 162226 231130 324452 405565 462260 811130 1622260 2229209 4458418 8916836 11146045 22292090 44584180 64647061 129294122 258588244 323235305 646470610 1292941220