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202428040 = 2355060701
BaseRepresentation
bin11000001000011…
…00111010001000
3112002220102001211
430010030322020
5403310144130
632030422504
75005416133
oct1404147210
9462812054
10202428040
11a42a1201
1257961a34
1332c27509
141cc5521a
1512b88a2a
hexc10ce88

202428040 has 16 divisors (see below), whose sum is σ = 455463180. Its totient is φ = 80971200.

The previous prime is 202428019. The next prime is 202428043. The reversal of 202428040 is 40824202.

202428040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 196168036 + 6260004 = 14006^2 + 2502^2 .

It is a super-2 number, since 2×2024280402 = 81954222756483200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202428043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2530311 + ... + 2530390.

Almost surely, 2202428040 is an apocalyptic number.

202428040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202428040 is an abundant number, since it is smaller than the sum of its proper divisors (253035140).

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

202428040 is a wasteful number, since it uses less digits than its factorization.

202428040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060712 (or 5060708 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 202428040 is about 14227.7208294231. The cubic root of 202428040 is about 587.1605789527.

It can be divided in two parts, 20242 and 8040, that added together give a palindrome (28282).

The spelling of 202428040 in words is "two hundred two million, four hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 5060701 10121402 20242804 25303505 40485608 50607010 101214020 202428040