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11116620 = 22325151409
BaseRepresentation
bin101010011010…
…000001001100
3202220210010200
4222122001030
510321212440
61034133500
7163326654
oct52320114
922823120
1011116620
116303099
123881290
1323c2ba8
141695364
15e98c30
hexa9a04c

11116620 has 72 divisors (see below), whose sum is σ = 34026720. Its totient is φ = 2937600.

The previous prime is 11116597. The next prime is 11116627. The reversal of 11116620 is 2661111.

11116620 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 662 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11116593 and 11116602.

It is not an unprimeable number, because it can be changed into a prime (11116627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26976 + ... + 27384.

Almost surely, 211116620 is an apocalyptic number.

11116620 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 11116620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013360).

11116620 is an abundant number, since it is smaller than the sum of its proper divisors (22910100).

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

11116620 is a wasteful number, since it uses less digits than its factorization.

11116620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11116620 is about 3334.1595642680. The cubic root of 11116620 is about 223.1811889184.

Adding to 11116620 its reverse (2661111), we get a palindrome (13777731).

The spelling of 11116620 in words is "eleven million, one hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 409 453 604 755 818 906 1227 1359 1510 1636 1812 2045 2265 2454 2718 3020 3681 4090 4530 4908 5436 6135 6795 7362 8180 9060 12270 13590 14724 18405 24540 27180 36810 61759 73620 123518 185277 247036 308795 370554 555831 617590 741108 926385 1111662 1235180 1852770 2223324 2779155 3705540 5558310 11116620