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1413014020 = 2251119732603
BaseRepresentation
bin101010000111000…
…1110001000000100
310122110211112211121
41110032032020010
510343212422040
6352113443324
750005264255
oct12416161004
93573745747
101413014020
11665678390
12335270544
13196987192
14d593cb2c
15840b5c4a
hex5438e204

1413014020 has 48 divisors (see below), whose sum is σ = 3253618368. Its totient is φ = 511199360.

The previous prime is 1413014017. The next prime is 1413014033. The reversal of 1413014020 is 204103141.

It is a junction number, because it is equal to n+sod(n) for n = 1413013985 and 1413014003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27039 + ... + 59641.

It is an arithmetic number, because the mean of its divisors is an integer number (67783716).

Almost surely, 21413014020 is an apocalyptic number.

1413014020 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 1413014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626809184).

1413014020 is an abundant number, since it is smaller than the sum of its proper divisors (1840604348).

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

1413014020 is a wasteful number, since it uses less digits than its factorization.

1413014020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32820 (or 32818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1413014020 is about 37590.0787442644. The cubic root of 1413014020 is about 1122.1445994011.

Adding to 1413014020 its reverse (204103141), we get a palindrome (1617117161).

The spelling of 1413014020 in words is "one billion, four hundred thirteen million, fourteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 788 985 1970 2167 3940 4334 8668 10835 21670 32603 43340 65206 130412 163015 326030 358633 652060 717266 1434532 1793165 3586330 6422791 7172660 12845582 25691164 32113955 64227910 70650701 128455820 141301402 282602804 353253505 706507010 1413014020