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2040432030 = 2325721335591
BaseRepresentation
bin111100110011110…
…1000010110011110
312021012102200112200
41321213220112132
513134322311110
6534245312330
7101364246300
oct17147502636
95235380480
102040432030
1195785286a
1248b4056a6
13266962740
14154dc1970
15be1ec6c0
hex799e859e

2040432030 has 144 divisors (see below), whose sum is σ = 6646165344. Its totient is φ = 430496640.

The previous prime is 2040432029. The next prime is 2040432047. The reversal of 2040432030 is 302340402.

2040432030 is a `hidden beast` number, since 204 + 0 + 432 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2040431994 and 2040432012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39535 + ... + 75125.

It is an arithmetic number, because the mean of its divisors is an integer number (46153926).

Almost surely, 22040432030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040432030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323082672).

2040432030 is an abundant number, since it is smaller than the sum of its proper divisors (4605733314).

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

2040432030 is a wasteful number, since it uses less digits than its factorization.

2040432030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35631 (or 35621 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2040432030 is about 45171.1415618423. The cubic root of 2040432030 is about 1268.3546655727.

Adding to 2040432030 its reverse (302340402), we get a palindrome (2342772432).

The spelling of 2040432030 in words is "two billion, forty million, four hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1638 1911 2205 2730 3185 3822 4095 4410 5733 6370 8190 9555 11466 19110 28665 35591 57330 71182 106773 177955 213546 249137 320319 355910 462683 498274 533865 640638 747411 925366 1067730 1245685 1388049 1494822 1601595 1743959 2242233 2313415 2491370 2776098 3203190 3238781 3487918 3737055 4164147 4484466 4626830 5231877 6477562 6940245 7474110 8328294 8719795 9716343 10463754 11211165 13880490 15695631 16193905 17439590 19432686 20820735 22422330 22671467 26159385 29149029 31391262 32387810 41641470 45342934 48581715 52318770 58298058 68014401 78478155 97163430 113357335 136028802 145745145 156956310 204043203 226714670 291490290 340072005 408086406 680144010 1020216015 2040432030