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1413023430 = 2357134312037
BaseRepresentation
bin101010000111001…
…0000011011000110
310122110212000202010
41110032100123012
510343213222210
6352113555050
750005333560
oct12416203306
93573760663
101413023430
11665684465
12335275a86
1319698b550
14d5942330
15840b8920
hex543906c6

1413023430 has 128 divisors (see below), whose sum is σ = 4271275008. Its totient is φ = 291174912.

The previous prime is 1413023429. The next prime is 1413023453. The reversal of 1413023430 is 343203141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1413023397 and 1413023406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111372 + ... + 123408.

It is an arithmetic number, because the mean of its divisors is an integer number (33369336).

Almost surely, 21413023430 is an apocalyptic number.

1413023430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413023430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135637504).

1413023430 is an abundant number, since it is smaller than the sum of its proper divisors (2858251578).

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

1413023430 is a wasteful number, since it uses less digits than its factorization.

1413023430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12110.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1413023430 is about 37590.2039100615. The cubic root of 1413023430 is about 1122.1470903783.

Adding to 1413023430 its reverse (343203141), we get a palindrome (1756226571).

The spelling of 1413023430 in words is "one billion, four hundred thirteen million, twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 43 65 70 78 86 91 105 129 130 182 195 210 215 258 273 301 390 430 455 546 559 602 645 903 910 1118 1290 1365 1505 1677 1806 2730 2795 3010 3354 3913 4515 5590 7826 8385 9030 11739 12037 16770 19565 23478 24074 36111 39130 58695 60185 72222 84259 117390 120370 156481 168518 180555 252777 312962 361110 421295 469443 505554 517591 782405 842590 938886 1035182 1095367 1263885 1552773 1564810 2190734 2347215 2527770 2587955 3105546 3286101 3623137 4694430 5175910 5476835 6572202 6728683 7246274 7763865 10869411 10953670 13457366 15527730 16430505 18115685 20186049 21738822 32861010 33643415 36231370 40372098 47100781 54347055 67286830 94201562 100930245 108694110 141302343 201860490 235503905 282604686 471007810 706511715 1413023430