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1290830420 = 22511348491
BaseRepresentation
bin100110011110000…
…1000001001010100
310022221220222110002
41030330020021110
510120423033140
6332030550432
743662606665
oct11474101124
93287828402
101290830420
11602705000
12300368418
131775773a9
14c361536c
15784cd415
hex4cf08254

1290830420 has 48 divisors (see below), whose sum is σ = 2981676096. Its totient is φ = 469383200.

The previous prime is 1290830389. The next prime is 1290830447. The reversal of 1290830420 is 240380921.

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, 2375 + ... + 50865.

It is an arithmetic number, because the mean of its divisors is an integer number (62118252).

Almost surely, 21290830420 is an apocalyptic number.

1290830420 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 1290830420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490838048).

1290830420 is an abundant number, since it is smaller than the sum of its proper divisors (1690845676).

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

1290830420 is a wasteful number, since it uses less digits than its factorization.

1290830420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48533 (or 48509 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1290830420 is about 35928.1285346176. The cubic root of 1290830420 is about 1088.8207711025.

The spelling of 1290830420 in words is "one billion, two hundred ninety million, eight hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 5324 6655 13310 26620 48491 96982 193964 242455 484910 533401 969820 1066802 2133604 2667005 5334010 5867411 10668020 11734822 23469644 29337055 58674110 64541521 117348220 129083042 258166084 322707605 645415210 1290830420