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11718640 = 245372107
BaseRepresentation
bin101100101100…
…111111110000
3211001100221201
4230230333300
510444444030
61055100544
7201415063
oct54547760
924040851
1011718640
11668442a
123b11754
132573c0b
1417b08da
1510672ca
hexb2cff0

11718640 has 60 divisors (see below), whose sum is σ = 28263816. Its totient is φ = 4518144.

The previous prime is 11718631. The next prime is 11718647. The reversal of 11718640 is 4681711.

It is a junction number, because it is equal to n+sod(n) for n = 11718599 and 11718608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11718647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109467 + ... + 109573.

Almost surely, 211718640 is an apocalyptic number.

11718640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11718640 is the 1712-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11718640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14131908).

11718640 is an abundant number, since it is smaller than the sum of its proper divisors (16545176).

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

11718640 is a wasteful number, since it uses less digits than its factorization.

11718640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 11718640 is about 3423.2499178412. The cubic root of 11718640 is about 227.1393634057.

The spelling of 11718640 in words is "eleven million, seven hundred eighteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 107 148 185 214 296 370 428 535 592 740 856 1070 1369 1480 1712 2140 2738 2960 3959 4280 5476 6845 7918 8560 10952 13690 15836 19795 21904 27380 31672 39590 54760 63344 79180 109520 146483 158360 292966 316720 585932 732415 1171864 1464830 2343728 2929660 5859320 11718640