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20202120 = 23325173301
BaseRepresentation
bin100110100010…
…0001010001000
31102000101002200
41031010022020
520132431440
62001000200
7333500211
oct115041210
942011080
1020202120
1110449174
126923060
134254423
14297c408
151b90c30
hex1344288

20202120 has 96 divisors (see below), whose sum is σ = 69540120. Its totient is φ = 5068800.

The previous prime is 20202113. The next prime is 20202167. The reversal of 20202120 is 2120202.

It can be written as a sum of positive squares in 4 ways, for example, as 16016004 + 4186116 = 4002^2 + 2046^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4470 + ... + 7770.

Almost surely, 220202120 is an apocalyptic number.

20202120 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 20202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34770060).

20202120 is an abundant number, since it is smaller than the sum of its proper divisors (49338000).

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

20202120 is a wasteful number, since it uses less digits than its factorization.

20202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20202120 is about 4494.6768515656. The cubic root of 20202120 is about 272.3530953544.

Adding to 20202120 its reverse (2120202), we get a palindrome (22322322).

The spelling of 20202120 in words is "twenty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 3301 6120 6602 9903 13204 16505 19806 26408 29709 33010 39612 49515 56117 59418 66020 79224 99030 112234 118836 132040 148545 168351 198060 224468 237672 280585 297090 336702 396120 448936 505053 561170 594180 673404 841755 1010106 1122340 1188360 1346808 1683510 2020212 2244680 2525265 3367020 4040424 5050530 6734040 10101060 20202120