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11406620 = 22523137181
BaseRepresentation
bin101011100000…
…110100011100
3210110111221102
4223200310130
510410002440
61044252232
7165645311
oct53406434
923414842
1011406620
116490a65
1239a1078
132494ba4
14172cd08
151004b15
hexae0d1c

11406620 has 48 divisors (see below), whose sum is σ = 25316928. Its totient is φ = 4308480.

The previous prime is 11406617. The next prime is 11406623. The reversal of 11406620 is 2660411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11406617) and next prime (11406623).

It is a super-2 number, since 2×114066202 = 260221959648800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11406592 and 11406601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62930 + ... + 63110.

It is an arithmetic number, because the mean of its divisors is an integer number (527436).

Almost surely, 211406620 is an apocalyptic number.

11406620 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 11406620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658464).

11406620 is an abundant number, since it is smaller than the sum of its proper divisors (13910308).

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

11406620 is a wasteful number, since it uses less digits than its factorization.

11406620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 11406620 is about 3377.3687983399. The cubic root of 11406620 is about 225.1052676147.

The spelling of 11406620 in words is "eleven million, four hundred six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 137 181 230 274 362 460 548 685 724 905 1370 1810 2740 3151 3620 4163 6302 8326 12604 15755 16652 20815 24797 31510 41630 49594 63020 83260 99188 123985 247970 495940 570331 1140662 2281324 2851655 5703310 11406620