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11840920 = 2357133253
BaseRepresentation
bin101101001010…
…110110011000
3211021120200121
4231022312120
511012402140
61101443024
7202434430
oct55126630
924246617
1011840920
116758293
123b70474
1325b7780
1418032c0
15108d64a
hexb4ad98

11840920 has 64 divisors (see below), whose sum is σ = 32800320. Its totient is φ = 3746304.

The previous prime is 11840911. The next prime is 11840951. The reversal of 11840920 is 2904811.

It is a happy number.

11840920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×118409203 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2014 + ... + 5266.

It is an arithmetic number, because the mean of its divisors is an integer number (512505).

Almost surely, 211840920 is an apocalyptic number.

11840920 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 11840920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400160).

11840920 is an abundant number, since it is smaller than the sum of its proper divisors (20959400).

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

11840920 is a wasteful number, since it uses less digits than its factorization.

11840920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 11840920 is about 3441.0637890048. The cubic root of 11840920 is about 227.9266718125.

The spelling of 11840920 in words is "eleven million, eight hundred forty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3253 3640 6506 13012 16265 22771 26024 32530 42289 45542 65060 84578 91084 113855 130120 169156 182168 211445 227710 296023 338312 422890 455420 592046 845780 910840 1184092 1480115 1691560 2368184 2960230 5920460 11840920