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20432280 = 23351123673
BaseRepresentation
bin100110111110…
…0010110011000
31102110001211010
41031330112120
520212313110
62005533520
7335446221
oct115742630
942401733
1020432280
1110596090
126a142a0
13430510b
1429dc248
151bd9020
hex137c598

20432280 has 128 divisors (see below), whose sum is σ = 69880320. Its totient is φ = 4730880.

The previous prime is 20432273. The next prime is 20432287. The reversal of 20432280 is 8223402.

It is an interprime number because it is at equal distance from previous prime (20432273) and next prime (20432287).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20432287) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30024 + ... + 30696.

It is an arithmetic number, because the mean of its divisors is an integer number (545940).

Almost surely, 220432280 is an apocalyptic number.

20432280 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 20432280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34940160).

20432280 is an abundant number, since it is smaller than the sum of its proper divisors (49448040).

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

20432280 is a wasteful number, since it uses less digits than its factorization.

20432280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 20432280 is about 4520.2079598178. The cubic root of 20432280 is about 273.3834860711.

Adding to 20432280 its reverse (8223402), we get a palindrome (28655682).

It can be divided in two parts, 204322 and 80, that added together give a palindrome (204402).

The spelling of 20432280 in words is "twenty million, four hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 673 690 759 920 1012 1265 1320 1346 1380 1518 2019 2024 2530 2692 2760 3036 3365 3795 4038 5060 5384 6072 6730 7403 7590 8076 10095 10120 13460 14806 15180 15479 16152 20190 22209 26920 29612 30360 30958 37015 40380 44418 46437 59224 61916 74030 77395 80760 88836 92874 111045 123832 148060 154790 170269 177672 185748 222090 232185 296120 309580 340538 371496 444180 464370 510807 619160 681076 851345 888360 928740 1021614 1362152 1702690 1857480 2043228 2554035 3405380 4086456 5108070 6810760 10216140 20432280