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1213004240 = 245717912101
BaseRepresentation
bin100100001001100…
…1111100111010000
310010112110222222222
41020103033213100
54441012113430
6320210520212
742026236340
oct11023174720
93115428888
101213004240
11572789048
1229a296068
131643c85b6
14b7156d20
15717589e5
hex484cf9d0

1213004240 has 80 divisors (see below), whose sum is σ = 3241399680. Its totient is φ = 413529600.

The previous prime is 1213004231. The next prime is 1213004267. The reversal of 1213004240 is 424003121.

It is a tau number, because it is divible by the number of its divisors (80).

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, 94190 + ... + 106290.

It is an arithmetic number, because the mean of its divisors is an integer number (40517496).

Almost surely, 21213004240 is an apocalyptic number.

1213004240 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 1213004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620699840).

1213004240 is an abundant number, since it is smaller than the sum of its proper divisors (2028395440).

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

1213004240 is a wasteful number, since it uses less digits than its factorization.

1213004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300 (or 12294 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1213004240 is about 34828.2104047854. The cubic root of 1213004240 is about 1066.4834155683.

Adding to 1213004240 its reverse (424003121), we get a palindrome (1637007361).

The spelling of 1213004240 in words is "one billion, two hundred thirteen million, four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 179 280 358 560 716 895 1253 1432 1790 2506 2864 3580 5012 6265 7160 10024 12101 12530 14320 20048 24202 25060 48404 50120 60505 84707 96808 100240 121010 169414 193616 242020 338828 423535 484040 677656 847070 968080 1355312 1694140 2166079 3388280 4332158 6776560 8664316 10830395 15162553 17328632 21660790 30325106 34657264 43321580 60650212 75812765 86643160 121300424 151625530 173286320 242600848 303251060 606502120 1213004240