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202023040 = 275479659
BaseRepresentation
bin11000000101010…
…10000010000000
3112002010211111211
430002222002000
5403204214130
632014015504
75002111312
oct1402520200
9462124454
10202023040
11a404499a
12577a7594
1332b1507b
141cb8b7b2
1512b08a2a
hexc0aa080

202023040 has 64 divisors (see below), whose sum is σ = 484704000. Its totient is φ = 80518144.

The previous prime is 202023011. The next prime is 202023043. The reversal of 202023040 is 40320202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 202023040.

It is not an unprimeable number, because it can be changed into a prime (202023043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306231 + ... + 306889.

It is an arithmetic number, because the mean of its divisors is an integer number (7573500).

Almost surely, 2202023040 is an apocalyptic number.

202023040 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 202023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242352000).

202023040 is an abundant number, since it is smaller than the sum of its proper divisors (282680960).

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

202023040 is an equidigital number, since it uses as much as digits as its factorization.

202023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 202023040 is about 14213.4809248122. The cubic root of 202023040 is about 586.7687379793.

Adding to 202023040 its reverse (40320202), we get a palindrome (242343242).

The spelling of 202023040 in words is "two hundred two million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 479 640 659 958 1318 1916 2395 2636 3295 3832 4790 5272 6590 7664 9580 10544 13180 15328 19160 21088 26360 30656 38320 42176 52720 61312 76640 84352 105440 153280 210880 306560 315661 421760 631322 1262644 1578305 2525288 3156610 5050576 6313220 10101152 12626440 20202304 25252880 40404608 50505760 101011520 202023040