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202093540 = 225111575851
BaseRepresentation
bin11000000101110…
…11001111100100
3112002021102012221
430002323033210
5403213443130
632015322124
75002523665
oct1402731744
9462242187
10202093540
11a4092960
1257820344
1332b3b19c
141cba936c
1512b1e87a
hexc0bb3e4

202093540 has 48 divisors (see below), whose sum is σ = 466006464. Its totient is φ = 73008000.

The previous prime is 202093537. The next prime is 202093579. The reversal of 202093540 is 45390202.

It is a happy number.

202093540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 31615 + ... + 37465.

It is an arithmetic number, because the mean of its divisors is an integer number (9708468).

Almost surely, 2202093540 is an apocalyptic number.

202093540 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 202093540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233003232).

202093540 is an abundant number, since it is smaller than the sum of its proper divisors (263912924).

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

202093540 is a wasteful number, since it uses less digits than its factorization.

202093540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 202093540 is about 14215.9607483983. The cubic root of 202093540 is about 586.8369849558.

The spelling of 202093540 in words is "two hundred two million, ninety-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1570 1727 3140 3454 5851 6908 8635 11702 17270 23404 29255 34540 58510 64361 117020 128722 257444 321805 643610 918607 1287220 1837214 3674428 4593035 9186070 10104677 18372140 20209354 40418708 50523385 101046770 202093540