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20132420 = 22571117769
BaseRepresentation
bin100110011001…
…1001001000100
31101212211111012
41030303021010
520123214140
61555301352
7333060050
oct114631104
941784435
1020132420
1110400870
1268aa858
13422b799
142960c60
151b7a265
hex1333244

20132420 has 96 divisors (see below), whose sum is σ = 55883520. Its totient is φ = 5898240.

The previous prime is 20132407. The next prime is 20132443. The reversal of 20132420 is 2423102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20132395 and 20132404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25796 + ... + 26564.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 220132420 is an apocalyptic number.

20132420 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 20132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941760).

20132420 is an abundant number, since it is smaller than the sum of its proper divisors (35751100).

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

20132420 is a wasteful number, since it uses less digits than its factorization.

20132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 20132420 is about 4486.9165358852. The cubic root of 20132420 is about 272.0395163176.

Adding to 20132420 its reverse (2423102), we get a palindrome (22555522).

The spelling of 20132420 in words is "twenty million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 308 340 374 385 476 595 748 769 770 935 1190 1309 1538 1540 1870 2380 2618 3076 3740 3845 5236 5383 6545 7690 8459 10766 13073 13090 15380 16918 21532 26146 26180 26915 33836 42295 52292 53830 59213 65365 84590 91511 107660 118426 130730 143803 169180 183022 236852 261460 287606 296065 366044 457555 575212 592130 719015 915110 1006621 1184260 1438030 1830220 2013242 2876060 4026484 5033105 10066210 20132420