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23882140 = 2254992393
BaseRepresentation
bin101101100011…
…0100110011100
31122221100010201
41123012212130
522103212030
62211513244
7406665142
oct133064634
948840121
1023882140
1112532007
127bb8824
134c42459
143259592
15216b2ca
hex16c699c

23882140 has 24 divisors (see below), whose sum is σ = 50274000. Its totient is φ = 9529728.

The previous prime is 23882101. The next prime is 23882147. The reversal of 23882140 is 4128832.

It is a super-2 number, since 2×238821402 = 1140713221959200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23882099 and 23882108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23882147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8784 + ... + 11176.

It is an arithmetic number, because the mean of its divisors is an integer number (2094750).

Almost surely, 223882140 is an apocalyptic number.

23882140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23882140 is an abundant number, since it is smaller than the sum of its proper divisors (26391860).

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

23882140 is a wasteful number, since it uses less digits than its factorization.

23882140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 23882140 is about 4886.9356451666. The cubic root of 23882140 is about 287.9769625348.

The spelling of 23882140 in words is "twenty-three million, eight hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 499 998 1996 2393 2495 4786 4990 9572 9980 11965 23930 47860 1194107 2388214 4776428 5970535 11941070 23882140