Search a number
-
+
202804940 = 225131037573
BaseRepresentation
bin11000001011010…
…00111011001100
3112010121120002002
430011220323030
5403404224230
632042451432
75011546022
oct1405507314
9463546062
10202804940
11a4529398
1257b03b78
1333029c30
141cd12712
1512c10545
hexc168ecc

202804940 has 48 divisors (see below), whose sum is σ = 463165248. Its totient is φ = 74145024.

The previous prime is 202804937. The next prime is 202804963. The reversal of 202804940 is 49408202.

It is a super-2 number, since 2×2028049402 = 82259687376807200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22994 + ... + 30566.

It is an arithmetic number, because the mean of its divisors is an integer number (9649276).

Almost surely, 2202804940 is an apocalyptic number.

202804940 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 202804940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231582624).

202804940 is an abundant number, since it is smaller than the sum of its proper divisors (260360308).

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

202804940 is a wasteful number, since it uses less digits than its factorization.

202804940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 202804940 is about 14240.9599395546. The cubic root of 202804940 is about 587.5247637064.

The spelling of 202804940 in words is "two hundred two million, eight hundred four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 206 260 412 515 1030 1339 2060 2678 5356 6695 7573 13390 15146 26780 30292 37865 75730 98449 151460 196898 393796 492245 780019 984490 1560038 1968980 3120076 3900095 7800190 10140247 15600380 20280494 40560988 50701235 101402470 202804940