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11906136 = 2333115011
BaseRepresentation
bin101101011010…
…110001011000
3211101220011000
4231122301120
511021444021
61103105000
7203125524
oct55326130
924356130
1011906136
1167a2290
123ba2160
13260b368
14181cd84
1510a2b26
hexb5ac58

11906136 has 64 divisors (see below), whose sum is σ = 36086400. Its totient is φ = 3607200.

The previous prime is 11906131. The next prime is 11906159. The reversal of 11906136 is 63160911.

11906136 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11906131) 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, 130 + ... + 4881.

It is an arithmetic number, because the mean of its divisors is an integer number (563850).

Almost surely, 211906136 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 11906136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18043200).

11906136 is an abundant number, since it is smaller than the sum of its proper divisors (24180264).

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

11906136 is a wasteful number, since it uses less digits than its factorization.

11906136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11906136 is about 3450.5269162839. The cubic root of 11906136 is about 228.3443549951.

The spelling of 11906136 in words is "eleven million, nine hundred six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 5011 10022 15033 20044 30066 40088 45099 55121 60132 90198 110242 120264 135297 165363 180396 220484 270594 330726 360792 440968 496089 541188 661452 992178 1082376 1322904 1488267 1984356 2976534 3968712 5953068 11906136