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202056820 = 22579714879
BaseRepresentation
bin11000000101100…
…10010001110100
3112002012112211221
430002302101310
5403211304240
632014440124
75002311640
oct1402622164
9462175757
10202056820
11a4068309
1257803044
1332b27564
141cb99c20
1512b13a4a
hexc0b2474

202056820 has 48 divisors (see below), whose sum is σ = 489968640. Its totient is φ = 68557824.

The previous prime is 202056797. The next prime is 202056823. The reversal of 202056820 is 28650202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202056823) by changing a digit.

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, 6141 + ... + 21019.

It is an arithmetic number, because the mean of its divisors is an integer number (10207680).

Almost surely, 2202056820 is an apocalyptic number.

202056820 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 202056820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244984320).

202056820 is an abundant number, since it is smaller than the sum of its proper divisors (287911820).

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

202056820 is a wasteful number, since it uses less digits than its factorization.

202056820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14992 (or 14990 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 202056820 is about 14214.6691836286. The cubic root of 202056820 is about 586.8014404264.

The spelling of 202056820 in words is "two hundred two million, fifty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3395 6790 13580 14879 29758 59516 74395 104153 148790 208306 297580 416612 520765 1041530 1443263 2083060 2886526 5773052 7216315 10102841 14432630 20205682 28865260 40411364 50514205 101028410 202056820