Search a number
-
+
202828340 = 225111370919
BaseRepresentation
bin11000001011011…
…10101000110100
3112010122202011202
430011232220310
5403411001330
632043152032
75012004161
oct1405565064
9463582152
10202828340
11a4544a30
1257b15618
1333037790
141cd1b068
1512c17445
hexc16ea34

202828340 has 48 divisors (see below), whose sum is σ = 500411520. Its totient is φ = 68081280.

The previous prime is 202828303. The next prime is 202828357. The reversal of 202828340 is 43828202.

It is a super-2 number, since 2×2028283402 = 82278671014311200, which contains 22 as substring.

It is a congruent number.

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, 32600 + ... + 38319.

It is an arithmetic number, because the mean of its divisors is an integer number (10425240).

Almost surely, 2202828340 is an apocalyptic number.

202828340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202828340 is an abundant number, since it is smaller than the sum of its proper divisors (297583180).

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

202828340 is a wasteful number, since it uses less digits than its factorization.

202828340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70952 (or 70950 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 202828340 is about 14241.7814896873. The cubic root of 202828340 is about 587.5473593933.

The spelling of 202828340 in words is "two hundred two million, eight hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 70919 141838 283676 354595 709190 780109 921947 1418380 1560218 1843894 3120436 3687788 3900545 4609735 7801090 9219470 10141417 15602180 18438940 20282834 40565668 50707085 101414170 202828340