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11214936 = 2337641
BaseRepresentation
bin101010110010…
…000001011000
3210002210000000
4222302001120
510332334221
61040213000
7164216415
oct52620130
923083000
1011214936
11636aa47
12390a160
132428875
1416bd10c
15eb7e26
hexab2058

11214936 has 64 divisors (see below), whose sum is σ = 31586400. Its totient is φ = 3732480.

The previous prime is 11214881. The next prime is 11214943. The reversal of 11214936 is 63941211.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 17176 + ... + 17816.

Almost surely, 211214936 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 11214936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793200).

11214936 is an abundant number, since it is smaller than the sum of its proper divisors (20371464).

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

11214936 is an frugal number, since it uses more digits than its factorization.

11214936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 646 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 11214936 is about 3348.8708544821. The cubic root of 11214936 is about 223.8372010121.

The spelling of 11214936 in words is "eleven million, two hundred fourteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 641 648 729 972 1282 1458 1923 1944 2187 2564 2916 3846 4374 5128 5769 5832 7692 8748 11538 15384 17307 17496 23076 34614 46152 51921 69228 103842 138456 155763 207684 311526 415368 467289 623052 934578 1246104 1401867 1869156 2803734 3738312 5607468 11214936