Search a number
-
+
239283940 = 2257592491
BaseRepresentation
bin11100100001100…
…10111011100100
3121200020212212011
432100302323210
5442224041230
635424404004
75633610550
oct1620627344
9550225764
10239283940
11113084625
1268176604
133a75cc3c
1423aca860
1516018e2a
hexe432ee4

239283940 has 72 divisors (see below), whose sum is σ = 585369792. Its totient is φ = 80485440.

The previous prime is 239283851. The next prime is 239283953. The reversal of 239283940 is 49382932.

239283940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 239283893 and 239283902.

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, 487095 + ... + 487585.

It is an arithmetic number, because the mean of its divisors is an integer number (8130136).

Almost surely, 2239283940 is an apocalyptic number.

239283940 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 239283940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292684896).

239283940 is an abundant number, since it is smaller than the sum of its proper divisors (346085852).

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

239283940 is a wasteful number, since it uses less digits than its factorization.

239283940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 239283940 is about 15468.8053837392. The cubic root of 239283940 is about 620.8278396983.

The spelling of 239283940 in words is "two hundred thirty-nine million, two hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 491 590 826 982 1180 1652 1964 2065 2455 3437 3481 4130 4910 6874 6962 8260 9820 13748 13924 17185 17405 24367 28969 34370 34810 48734 57938 68740 69620 97468 115876 121835 144845 202783 243670 289690 405566 487340 579380 811132 1013915 1709171 2027830 3418342 4055660 6836684 8545855 11964197 17091710 23928394 34183420 47856788 59820985 119641970 239283940