Search a number
-
+
201582990 = 23257319973
BaseRepresentation
bin11000000001111…
…10100110001110
3112001022110212200
430000332212032
5403101123430
632000342330
74665266340
oct1400764616
9461273780
10201582990
11a3874314
12576149a6
13329bc99b
141cab5290
1512a6d460
hexc03e98e

201582990 has 48 divisors (see below), whose sum is σ = 598991328. Its totient is φ = 46075968.

The previous prime is 201582977. The next prime is 201583061. The reversal of 201582990 is 99285102.

201582990 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 159357 + ... + 160616.

It is an arithmetic number, because the mean of its divisors is an integer number (12478986).

Almost surely, 2201582990 is an apocalyptic number.

201582990 is an abundant number, since it is smaller than the sum of its proper divisors (397408338).

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

201582990 is a wasteful number, since it uses less digits than its factorization.

201582990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319993 (or 319990 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 201582990 is about 14197.9924637253. The cubic root of 201582990 is about 586.3423917439.

The spelling of 201582990 in words is "two hundred one million, five hundred eighty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 319973 639946 959919 1599865 1919838 2239811 2879757 3199730 4479622 4799595 5759514 6719433 9599190 11199055 13438866 14398785 20158299 22398110 28797570 33597165 40316598 67194330 100791495 201582990