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202020120 = 233254113687
BaseRepresentation
bin11000000101010…
…01010100011000
3112002010200111200
430002221110120
5403204120440
632013554200
75002066641
oct1402512430
9462120450
10202020120
11a4042785
12577a5960
1332b13943
141cb8a6c8
1512b07c30
hexc0a9518

202020120 has 96 divisors (see below), whose sum is σ = 672628320. Its totient is φ = 52554240.

The previous prime is 202020113. The next prime is 202020131. The reversal of 202020120 is 21020202.

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

It is a congruent number.

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, 7917 + ... + 21603.

It is an arithmetic number, because the mean of its divisors is an integer number (7006545).

Almost surely, 2202020120 is an apocalyptic number.

202020120 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 202020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336314160).

202020120 is an abundant number, since it is smaller than the sum of its proper divisors (470608200).

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

202020120 is a wasteful number, since it uses less digits than its factorization.

202020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13745 (or 13738 counting only the distinct ones).

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

The square root of 202020120 is about 14213.3782050574. The cubic root of 202020120 is about 586.7659109536.

Adding to 202020120 its reverse (21020202), we get a palindrome (223040322).

The spelling of 202020120 in words is "two hundred two million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 13687 14760 27374 41061 54748 68435 82122 109496 123183 136870 164244 205305 246366 273740 328488 410610 492732 547480 561167 615915 821220 985464 1122334 1231830 1642440 1683501 2244668 2463660 2805835 3367002 4489336 4927320 5050503 5611670 6734004 8417505 10101006 11223340 13468008 16835010 20202012 22446680 25252515 33670020 40404024 50505030 67340040 101010060 202020120