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239241120 = 2535523953
BaseRepresentation
bin11100100001010…
…00011110100000
3121200011201010020
432100220132200
5442221203440
635423433440
75633341656
oct1620503640
9550151106
10239241120
11113055438
1268155880
133a7465c1
1423ab8dd6
151600b3d0
hexe4287a0

239241120 has 96 divisors (see below), whose sum is σ = 755842752. Its totient is φ = 63608832.

The previous prime is 239241113. The next prime is 239241127. The reversal of 239241120 is 21142932.

It is an interprime number because it is at equal distance from previous prime (239241113) and next prime (239241127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (239241127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250564 + ... + 251516.

It is an arithmetic number, because the mean of its divisors is an integer number (7873362).

Almost surely, 2239241120 is an apocalyptic number.

239241120 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 239241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377921376).

239241120 is an abundant number, since it is smaller than the sum of its proper divisors (516601632).

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

239241120 is a wasteful number, since it uses less digits than its factorization.

239241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 239241120 is about 15467.4212459608. The cubic root of 239241120 is about 620.7908049883.

The spelling of 239241120 in words is "two hundred thirty-nine million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 523 953 1046 1569 1906 2092 2615 2859 3138 3812 4184 4765 5230 5718 6276 7624 7845 8368 9530 10460 11436 12552 14295 15248 15690 16736 19060 20920 22872 25104 28590 30496 31380 38120 41840 45744 50208 57180 62760 76240 83680 91488 114360 125520 152480 228720 251040 457440 498419 996838 1495257 1993676 2492095 2990514 3987352 4984190 5981028 7476285 7974704 9968380 11962056 14952570 15949408 19936760 23924112 29905140 39873520 47848224 59810280 79747040 119620560 239241120