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11466420 = 22357231187
BaseRepresentation
bin101011101111…
…011010110100
3210120112222020
4223233122310
510413411140
61045433140
7166314540
oct53573264
923515866
1011466420
116521989
123a0b7b0
1324b6184
141746a20
1510176d0
hexaef6b4

11466420 has 96 divisors (see below), whose sum is σ = 38320128. Its totient is φ = 2504832.

The previous prime is 11466419. The next prime is 11466421. The reversal of 11466420 is 2466411.

It is an interprime number because it is at equal distance from previous prime (11466419) and next prime (11466421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11466421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9067 + ... + 10253.

It is an arithmetic number, because the mean of its divisors is an integer number (399168).

Almost surely, 211466420 is an apocalyptic number.

11466420 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 11466420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160064).

11466420 is an abundant number, since it is smaller than the sum of its proper divisors (26853708).

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

11466420 is a wasteful number, since it uses less digits than its factorization.

11466420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 11466420 is about 3386.2102710848. The cubic root of 11466420 is about 225.4979588575.

Subtracting from 11466420 its reverse (2466411), we obtain a palindrome (9000009).

The spelling of 11466420 in words is "eleven million, four hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1187 1380 1610 1932 2374 2415 3220 3561 4748 4830 5935 7122 8309 9660 11870 14244 16618 17805 23740 24927 27301 33236 35610 41545 49854 54602 71220 81903 83090 99708 109204 124635 136505 163806 166180 191107 249270 273010 327612 382214 409515 498540 546020 573321 764428 819030 955535 1146642 1638060 1911070 2293284 2866605 3822140 5733210 11466420