Search a number
-
+
13622112 = 2532729233
BaseRepresentation
bin110011111101…
…101101100000
3221122002000200
4303331231200
511441401422
61203545200
7223533420
oct63755540
927562020
1013622112
117764549
12468b200
132a8c42a
141b48480
1512e12ac
hexcfdb60

13622112 has 144 divisors (see below), whose sum is σ = 45995040. Its totient is φ = 3741696.

The previous prime is 13622101. The next prime is 13622123. The reversal of 13622112 is 21122631.

It is an interprime number because it is at equal distance from previous prime (13622101) and next prime (13622123).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 58348 + ... + 58580.

It is an arithmetic number, because the mean of its divisors is an integer number (319410).

Almost surely, 213622112 is an apocalyptic number.

13622112 is a gapful number since it is divisible by the number (12) 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 13622112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22997520).

13622112 is an abundant number, since it is smaller than the sum of its proper divisors (32372928).

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

13622112 is a wasteful number, since it uses less digits than its factorization.

13622112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

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

The square root of 13622112 is about 3690.8145442436. The cubic root of 13622112 is about 238.8259325557.

Adding to 13622112 its reverse (21122631), we get a palindrome (34744743).

The spelling of 13622112 in words is "thirteen million, six hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 233 252 261 288 336 348 406 464 466 504 522 609 672 696 699 812 928 932 1008 1044 1218 1392 1398 1624 1631 1827 1864 2016 2088 2097 2436 2784 2796 3248 3262 3654 3728 4176 4194 4872 4893 5592 6496 6524 6757 7308 7456 8352 8388 9744 9786 11184 13048 13514 14616 14679 16776 19488 19572 20271 22368 26096 27028 29232 29358 33552 39144 40542 47299 52192 54056 58464 58716 60813 67104 78288 81084 94598 108112 117432 121626 141897 156576 162168 189196 216224 234864 243252 283794 324336 378392 425691 469728 486504 567588 648672 756784 851382 973008 1135176 1513568 1702764 1946016 2270352 3405528 4540704 6811056 13622112