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202000680 = 233257711129
BaseRepresentation
bin11000000101001…
…00100100101000
3112002002200211200
430002210210220
5403203010210
632013324200
75001656160
oct1402444450
9462080750
10202000680
11a402a112
1257796660
1332b07b3b
141cb835a0
1512b020c0
hexc0a4928

202000680 has 192 divisors, whose sum is σ = 761529600. Its totient is φ = 45480960.

The previous prime is 202000679. The next prime is 202000741. The reversal of 202000680 is 86000202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178356 + ... + 179484.

It is an arithmetic number, because the mean of its divisors is an integer number (3966300).

Almost surely, 2202000680 is an apocalyptic number.

202000680 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 202000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380764800).

202000680 is an abundant number, since it is smaller than the sum of its proper divisors (559528920).

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

202000680 is a wasteful number, since it uses less digits than its factorization.

202000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1217 counting only the distinct ones).

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

The square root of 202000680 is about 14212.6943258483. The cubic root of 202000680 is about 586.7470892389.

Adding to 202000680 its reverse (86000202), we get a palindrome (288000882).

The spelling of 202000680 in words is "two hundred two million, six hundred eighty", and thus it is an aban number.