Search a number
-
+
20238120 = 2333572677
BaseRepresentation
bin100110100110…
…0111100101000
31102002012111000
41031030330220
520140104440
62001435000
7334010160
oct115147450
942065430
1020238120
1110473221
12693ba60
134267926
14298b5a0
151b9b730
hex134cf28

20238120 has 128 divisors (see below), whose sum is σ = 77126400. Its totient is φ = 4624128.

The previous prime is 20238089. The next prime is 20238131. The reversal of 20238120 is 2183202.

It is a happy number.

It is a super-2 number, since 2×202381202 = 819163002268800, which contains 22 as substring.

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 = 20238093 and 20238102.

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, 6222 + ... + 8898.

It is an arithmetic number, because the mean of its divisors is an integer number (602550).

Almost surely, 220238120 is an apocalyptic number.

20238120 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 20238120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38563200).

20238120 is an abundant number, since it is smaller than the sum of its proper divisors (56888280).

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

20238120 is a wasteful number, since it uses less digits than its factorization.

20238120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20238120 is about 4498.6798063432. The cubic root of 20238120 is about 272.5147762938.

The spelling of 20238120 in words is "twenty million, two hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 2677 3780 5354 7560 8031 10708 13385 16062 18739 21416 24093 26770 32124 37478 40155 48186 53540 56217 64248 72279 74956 80310 93695 96372 107080 112434 120465 144558 149912 160620 168651 187390 192744 224868 240930 281085 289116 321240 337302 361395 374780 449736 481860 505953 562170 578232 674604 722790 749560 843255 963720 1011906 1124340 1349208 1445580 1686510 2023812 2248680 2529765 2891160 3373020 4047624 5059530 6746040 10119060 20238120