Search a number
-
+
13422132 = 22331931211
BaseRepresentation
bin110011001100…
…111000110100
3221020220201000
4303030320310
511414002012
61155403300
7222041403
oct63147064
927226630
1013422132
117638279
1245b3530
132a1c3b9
141ad563a
1512a1ddc
hexccce34

13422132 has 96 divisors (see below), whose sum is σ = 37990400. Its totient is φ = 4082400.

The previous prime is 13422131. The next prime is 13422137. The reversal of 13422132 is 23122431.

13422132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13422131) 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, 63507 + ... + 63717.

Almost surely, 213422132 is an apocalyptic number.

13422132 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 13422132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995200).

13422132 is an abundant number, since it is smaller than the sum of its proper divisors (24568268).

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

13422132 is a wasteful number, since it uses less digits than its factorization.

13422132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 13422132 is about 3663.6227971777. The cubic root of 13422132 is about 237.6514682911.

Adding to 13422132 its reverse (23122431), we get a palindrome (36544563).

The spelling of 13422132 in words is "thirteen million, four hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 211 228 279 342 372 422 513 558 589 633 684 837 844 1026 1116 1178 1266 1674 1767 1899 2052 2356 2532 3348 3534 3798 4009 5301 5697 6541 7068 7596 8018 10602 11394 12027 13082 15903 16036 19623 21204 22788 24054 26164 31806 36081 39246 48108 58869 63612 72162 78492 108243 117738 124279 144324 176607 216486 235476 248558 353214 372837 432972 497116 706428 745674 1118511 1491348 2237022 3355533 4474044 6711066 13422132