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2140431320 = 235197139667
BaseRepresentation
bin111111110010100…
…0110001111011000
312112011121011210002
41333211012033120
513340422300240
6552220512132
7104020236356
oct17745061730
95464534702
102140431320
119a9243805
124b89ab648
132815a5b11
141643b27d6
15c7da1d15
hex7f9463d8

2140431320 has 64 divisors (see below), whose sum is σ = 5140972800. Its totient is φ = 799666560.

The previous prime is 2140431299. The next prime is 2140431367. The reversal of 2140431320 is 231340412.

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

It is a junction number, because it is equal to n+sod(n) for n = 2140431292 and 2140431301.

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, 34127 + ... + 73793.

It is an arithmetic number, because the mean of its divisors is an integer number (80327700).

Almost surely, 22140431320 is an apocalyptic number.

2140431320 is a gapful number since it is divisible by the number (20) 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 2140431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570486400).

2140431320 is an abundant number, since it is smaller than the sum of its proper divisors (3000541480).

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

2140431320 is a wasteful number, since it uses less digits than its factorization.

2140431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39768 (or 39764 counting only the distinct ones).

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

The square root of 2140431320 is about 46264.7956874339. The cubic root of 2140431320 is about 1288.7453137182.

Adding to 2140431320 its reverse (231340412), we get a palindrome (2371771732).

The spelling of 2140431320 in words is "two billion, one hundred forty million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 142 152 190 284 355 380 568 710 760 1349 1420 2698 2840 5396 6745 10792 13490 26980 39667 53960 79334 158668 198335 317336 396670 753673 793340 1507346 1586680 2816357 3014692 3768365 5632714 6029384 7536730 11265428 14081785 15073460 22530856 28163570 30146920 53510783 56327140 107021566 112654280 214043132 267553915 428086264 535107830 1070215660 2140431320