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11406420 = 223552347
BaseRepresentation
bin101011100000…
…110001010100
3210110111200000
4223200301110
510410001140
61044251300
7165644604
oct53406124
923414600
1011406420
1164908a3
1239a0b30
132494a7c
14172cc04
151004a30
hexae0c54

11406420 has 72 divisors (see below), whose sum is σ = 35896224. Its totient is φ = 3040416.

The previous prime is 11406401. The next prime is 11406433. The reversal of 11406420 is 2460411.

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 = 11406393 and 11406402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3687 + ... + 6033.

Almost surely, 211406420 is an apocalyptic number.

11406420 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 11406420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17948112).

11406420 is an abundant number, since it is smaller than the sum of its proper divisors (24489804).

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

11406420 is a wasteful number, since it uses less digits than its factorization.

11406420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11406420 is about 3377.3391893619. The cubic root of 11406420 is about 225.1039519659.

Adding to 11406420 its reverse (2460411), we get a palindrome (13866831).

The spelling of 11406420 in words is "eleven million, four hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2347 2430 4694 4860 7041 9388 11735 14082 21123 23470 28164 35205 42246 46940 63369 70410 84492 105615 126738 140820 190107 211230 253476 316845 380214 422460 570321 633690 760428 950535 1140642 1267380 1901070 2281284 2851605 3802140 5703210 11406420