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1413004340 = 2251130720921
BaseRepresentation
bin101010000111000…
…1011110000110100
310122110211001120002
41110032023300310
510343212114330
6352113330432
750005224116
oct12416136064
93573731502
101413004340
11665671090
12335266a18
13196982957
14d59393b6
15840b2e45
hex5438bc34

1413004340 has 48 divisors (see below), whose sum is σ = 3247763904. Its totient is φ = 512121600.

The previous prime is 1413004303. The next prime is 1413004363. The reversal of 1413004340 is 434003141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 57080 + ... + 78000.

It is an arithmetic number, because the mean of its divisors is an integer number (67661748).

Almost surely, 21413004340 is an apocalyptic number.

1413004340 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 1413004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623881952).

1413004340 is an abundant number, since it is smaller than the sum of its proper divisors (1834759564).

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

1413004340 is a wasteful number, since it uses less digits than its factorization.

1413004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21248 (or 21246 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1413004340 is about 37589.9499866653. The cubic root of 1413004340 is about 1122.1420369390.

Adding to 1413004340 its reverse (434003141), we get a palindrome (1847007481).

The spelling of 1413004340 in words is "one billion, four hundred thirteen million, four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 307 614 1228 1535 3070 3377 6140 6754 13508 16885 20921 33770 41842 67540 83684 104605 209210 230131 418420 460262 920524 1150655 2301310 4602620 6422747 12845494 25690988 32113735 64227470 70650217 128454940 141300434 282600868 353251085 706502170 1413004340