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11740120 = 2357231823
BaseRepresentation
bin101100110010…
…001111011000
3211002110102021
4230302033120
511001140440
61055344224
7201534520
oct54621730
924073367
1011740120
116699587
123b22074
132580922
1417b8680
15106d84a
hexb323d8

11740120 has 64 divisors (see below), whose sum is σ = 31518720. Its totient is φ = 3848064.

The previous prime is 11740117. The next prime is 11740123. The reversal of 11740120 is 2104711.

11740120 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11740117) and next prime (11740123).

It is a super-2 number, since 2×117401202 = 275660835228800, which contains 22 as substring.

11740120 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 11740094 and 11740103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11740123) 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, 5529 + ... + 7351.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 211740120 is an apocalyptic number.

11740120 is a gapful number since it is divisible by the number (10) 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 11740120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360).

11740120 is an abundant number, since it is smaller than the sum of its proper divisors (19778600).

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

11740120 is a wasteful number, since it uses less digits than its factorization.

11740120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 11740120 is about 3426.3858510098. The cubic root of 11740120 is about 227.2780591234.

Adding to 11740120 its reverse (2104711), we get a palindrome (13844831).

The spelling of 11740120 in words is "eleven million, seven hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 1823 3220 3646 6440 7292 9115 12761 14584 18230 25522 36460 41929 51044 63805 72920 83858 102088 127610 167716 209645 255220 293503 335432 419290 510440 587006 838580 1174012 1467515 1677160 2348024 2935030 5870060 11740120