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11717940 = 22351383181
BaseRepresentation
bin101100101100…
…110100110100
3211001022222210
4230230310310
510444433230
61055053420
7201413043
oct54546464
924038883
1011717940
116683953
123b11270
1325737c0
1417b055a
151066eb0
hexb2cd34

11717940 has 96 divisors (see below), whose sum is σ = 35957376. Its totient is φ = 2833920.

The previous prime is 11717933. The next prime is 11717941. The reversal of 11717940 is 4971711.

11717940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11717898 and 11717907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11717941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64650 + ... + 64830.

It is an arithmetic number, because the mean of its divisors is an integer number (374556).

Almost surely, 211717940 is an apocalyptic number.

11717940 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 11717940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978688).

11717940 is an abundant number, since it is smaller than the sum of its proper divisors (24239436).

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

11717940 is a wasteful number, since it uses less digits than its factorization.

11717940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The square root of 11717940 is about 3423.1476742904. The cubic root of 11717940 is about 227.1348406761.

The spelling of 11717940 in words is "eleven million, seven hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 83 130 156 166 181 195 249 260 332 362 390 415 498 543 724 780 830 905 996 1079 1086 1245 1660 1810 2158 2172 2353 2490 2715 3237 3620 4316 4706 4980 5395 5430 6474 7059 9412 10790 10860 11765 12948 14118 15023 16185 21580 23530 28236 30046 32370 35295 45069 47060 60092 64740 70590 75115 90138 141180 150230 180276 195299 225345 300460 390598 450690 585897 781196 901380 976495 1171794 1952990 2343588 2929485 3905980 5858970 11717940