Search a number
-
+
202713020 = 22541269919
BaseRepresentation
bin11000001010100…
…10011110111100
3112010102212222122
430011102132330
5403343304040
632040502112
75011014026
oct1405223674
9463385878
10202713020
11a4476324
1257a7a938
1332cc7143
141cccb016
1512be31b5
hexc1527bc

202713020 has 48 divisors (see below), whose sum is σ = 438177600. Its totient is φ = 78727680.

The previous prime is 202713019. The next prime is 202713041. The reversal of 202713020 is 20317202.

202713020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202713020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220121 + ... + 221039.

It is an arithmetic number, because the mean of its divisors is an integer number (9128700).

Almost surely, 2202713020 is an apocalyptic number.

202713020 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 202713020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219088800).

202713020 is an abundant number, since it is smaller than the sum of its proper divisors (235464580).

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

202713020 is a wasteful number, since it uses less digits than its factorization.

202713020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 202713020 is about 14237.7322632504. The cubic root of 202713020 is about 587.4359863859.

The spelling of 202713020 in words is "two hundred two million, seven hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 269 410 538 820 919 1076 1345 1838 2690 3676 4595 5380 9190 11029 18380 22058 37679 44116 55145 75358 110290 150716 188395 220580 247211 376790 494422 753580 988844 1236055 2472110 4944220 10135651 20271302 40542604 50678255 101356510 202713020