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202391040 = 293519273
BaseRepresentation
bin11000001000000…
…11111000000000
3112002211112022110
430010003320000
5403303003130
632025535320
75005203225
oct1404037000
9462745273
10202391040
11a4276425
1257944540
1332c13717
141cc4594c
1512b7cab0
hexc103e00

202391040 has 240 divisors, whose sum is σ = 692219088. Its totient is φ = 50429952.

The previous prime is 202391039. The next prime is 202391051. The reversal of 202391040 is 40193202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 202390998 and 202391016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2772444 + ... + 2772516.

Almost surely, 2202391040 is an apocalyptic number.

202391040 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 202391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346109544).

202391040 is an abundant number, since it is smaller than the sum of its proper divisors (489828048).

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

202391040 is an equidigital number, since it uses as much as digits as its factorization.

202391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 202391040 is about 14226.4204914659. The cubic root of 202391040 is about 587.1248028398.

The spelling of 202391040 in words is "two hundred two million, three hundred ninety-one thousand, forty".