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11683416 = 2333759223
BaseRepresentation
bin101100100100…
…011001011000
3210222120122010
4230210121120
510442332131
61054225520
7201210303
oct54443130
923876563
1011683416
11665aa18
123ab52a0
132560b84
1417a1b3a
15105bb46
hexb24658

11683416 has 64 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 3708288.

The previous prime is 11683387. The next prime is 11683447. The reversal of 11683416 is 61438611.

It is a nude number because it is divisible by every one of its digits.

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, 52281 + ... + 52503.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 211683416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11683416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321600).

11683416 is an abundant number, since it is smaller than the sum of its proper divisors (18959784).

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

11683416 is a wasteful number, since it uses less digits than its factorization.

11683416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11683416 is about 3418.1012272898. The cubic root of 11683416 is about 226.9115557819.

The spelling of 11683416 in words is "eleven million, six hundred eighty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 59 74 111 118 148 177 222 223 236 296 354 444 446 472 669 708 888 892 1338 1416 1784 2183 2676 4366 5352 6549 8251 8732 13098 13157 16502 17464 24753 26196 26314 33004 39471 49506 52392 52628 66008 78942 99012 105256 157884 198024 315768 486809 973618 1460427 1947236 2920854 3894472 5841708 11683416