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202056420 = 223512792633
BaseRepresentation
bin11000000101100…
…10001011100100
3112002012112022010
430002302023210
5403211301140
632014434220
75002310526
oct1402621344
9462175263
10202056420
11a4067a85
1257802970
1332b27317
141cb99a16
1512b13880
hexc0b22e4

202056420 has 48 divisors (see below), whose sum is σ = 566415360. Its totient is φ = 53819136.

The previous prime is 202056401. The next prime is 202056451. The reversal of 202056420 is 24650202.

202056420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75424 + ... + 78056.

It is an arithmetic number, because the mean of its divisors is an integer number (11800320).

Almost surely, 2202056420 is an apocalyptic number.

202056420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202056420 is an abundant number, since it is smaller than the sum of its proper divisors (364358940).

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

202056420 is a wasteful number, since it uses less digits than its factorization.

202056420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 202056420 is about 14214.6551136494. The cubic root of 202056420 is about 586.8010532073.

The spelling of 202056420 in words is "two hundred two million, fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1279 2558 2633 3837 5116 5266 6395 7674 7899 10532 12790 13165 15348 15798 19185 25580 26330 31596 38370 39495 52660 76740 78990 157980 3367607 6735214 10102821 13470428 16838035 20205642 33676070 40411284 50514105 67352140 101028210 202056420