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20931240 = 233511101157
BaseRepresentation
bin100111111011…
…0001010101000
31110101102021010
41033312022220
520324244430
62024343520
7342625011
oct117661250
943342233
1020931240
11108a6a50
127014ba0
13444b265
142acc008
151c86cb0
hex13f62a8

20931240 has 128 divisors (see below), whose sum is σ = 69621120. Its totient is φ = 4992000.

The previous prime is 20931223. The next prime is 20931241. The reversal of 20931240 is 4213902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20931241) 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, 133242 + ... + 133398.

It is an arithmetic number, because the mean of its divisors is an integer number (543915).

Almost surely, 220931240 is an apocalyptic number.

20931240 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 20931240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34810560).

20931240 is an abundant number, since it is smaller than the sum of its proper divisors (48689880).

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

20931240 is a wasteful number, since it uses less digits than its factorization.

20931240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20931240 is about 4575.0672126210. The cubic root of 20931240 is about 275.5909715242.

It can be divided in two parts, 2093 and 1240, that added together give a palindrome (3333).

The spelling of 20931240 in words is "twenty million, nine hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 157 165 202 220 264 303 314 330 404 440 471 505 606 628 660 785 808 942 1010 1111 1212 1256 1320 1515 1570 1727 1884 2020 2222 2355 2424 3030 3140 3333 3454 3768 4040 4444 4710 5181 5555 6060 6280 6666 6908 8635 8888 9420 10362 11110 12120 13332 13816 15857 16665 17270 18840 20724 22220 25905 26664 31714 33330 34540 41448 44440 47571 51810 63428 66660 69080 79285 95142 103620 126856 133320 158570 174427 190284 207240 237855 317140 348854 380568 475710 523281 634280 697708 872135 951420 1046562 1395416 1744270 1902840 2093124 2616405 3488540 4186248 5232810 6977080 10465620 20931240