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11421630 = 23251183139
BaseRepresentation
bin101011100100…
…011110111110
3210111021112100
4223210132332
510410443010
61044445530
7166040133
oct53443676
923437470
1011421630
1164a1270
1239a98a6
13249b97c
14173458a
1510092c0
hexae47be

11421630 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2715840.

The previous prime is 11421629. The next prime is 11421661. The reversal of 11421630 is 3612411.

It is a happy number.

11421630 is a `hidden beast` number, since 1 + 14 + 21 + 630 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82101 + ... + 82239.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 211421630 is an apocalyptic number.

11421630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11421630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

11421630 is an abundant number, since it is smaller than the sum of its proper divisors (21600450).

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

11421630 is a wasteful number, since it uses less digits than its factorization.

11421630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11421630 is about 3379.5902118452. The cubic root of 11421630 is about 225.2039631990.

It can be divided in two parts, 1142 and 1630, that added together give a palindrome (2772).

The spelling of 11421630 in words is "eleven million, four hundred twenty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 83 90 99 110 139 165 166 198 249 278 330 415 417 495 498 695 747 830 834 913 990 1245 1251 1390 1494 1529 1826 2085 2490 2502 2739 3058 3735 4170 4565 4587 5478 6255 7470 7645 8217 9130 9174 11537 12510 13695 13761 15290 16434 22935 23074 27390 27522 34611 41085 45870 57685 68805 69222 82170 103833 115370 126907 137610 173055 207666 253814 346110 380721 519165 634535 761442 1038330 1142163 1269070 1903605 2284326 3807210 5710815 11421630