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240113120 = 25513241479
BaseRepresentation
bin11100100111111…
…01010111100000
3121201211000021112
432103331113200
5442432104440
635454242452
75643633152
oct1623752740
9551730245
10240113120
111135a05a5
12684b6428
133a990490
1423c64ad2
151612e965
hexe4fd5e0

240113120 has 96 divisors (see below), whose sum is σ = 614718720. Its totient is φ = 88104960.

The previous prime is 240113113. The next prime is 240113129. The reversal of 240113120 is 21311042.

It is a super-2 number, since 2×2401131202 = 115308620792268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240113095 and 240113104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240113129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501041 + ... + 501519.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 2240113120 is an apocalyptic number.

240113120 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 240113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307359360).

240113120 is an abundant number, since it is smaller than the sum of its proper divisors (374605600).

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

240113120 is a wasteful number, since it uses less digits than its factorization.

240113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 240113120 is about 15495.5838870305. The cubic root of 240113120 is about 621.5441220054.

Adding to 240113120 its reverse (21311042), we get a palindrome (261424162).

The spelling of 240113120 in words is "two hundred forty million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 241 260 416 479 482 520 958 964 1040 1205 1916 1928 2080 2395 2410 3133 3832 3856 4790 4820 6227 6266 7664 7712 9580 9640 12454 12532 15328 15665 19160 19280 24908 25064 31135 31330 38320 38560 49816 50128 62270 62660 76640 99632 100256 115439 124540 125320 199264 230878 249080 250640 461756 498160 501280 577195 923512 996320 1154390 1500707 1847024 2308780 3001414 3694048 4617560 6002828 7503535 9235120 12005656 15007070 18470240 24011312 30014140 48022624 60028280 120056560 240113120