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239042240 = 2653124097
BaseRepresentation
bin11100011111101…
…11111011000000
3121122210121022022
432033313323000
5442143322430
635415301012
75631553103
oct1617677300
9548717268
10239042240
11112a29a78
126807a768
133a6a6c18
1423a6673a
1515ebc4e5
hexe3f7ec0

239042240 has 56 divisors (see below), whose sum is σ = 587605632. Its totient is φ = 92528640.

The previous prime is 239042233. The next prime is 239042257. The reversal of 239042240 is 42240932.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2129 + ... + 21968.

Almost surely, 2239042240 is an apocalyptic number.

239042240 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 239042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293802816).

239042240 is an abundant number, since it is smaller than the sum of its proper divisors (348563392).

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

239042240 is a wasteful number, since it uses less digits than its factorization.

239042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24145 (or 24135 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 239042240 is about 15460.9909126162. The cubic root of 239042240 is about 620.6187371564.

The spelling of 239042240 in words is "two hundred thirty-nine million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 24097 48194 96388 120485 192776 240970 385552 481940 747007 771104 963880 1494014 1542208 1927760 2988028 3735035 3855520 5976056 7470070 7711040 11952112 14940140 23904224 29880280 47808448 59760560 119521120 239042240