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14193972 = 22321322333
BaseRepresentation
bin110110001001…
…010100110100
3222201010110200
4312021110310
512113201342
61224120500
7231434562
oct66112464
928633420
1014193972
118015161
124906130
132c2c800
141c56a32
1513a594c
hexd89534

14193972 has 54 divisors (see below), whose sum is σ = 38868102. Its totient is φ = 4365504.

The previous prime is 14193961. The next prime is 14193979. The reversal of 14193972 is 27939141.

It can be written as a sum of positive squares in 3 ways, for example, as 86436 + 14107536 = 294^2 + 3756^2 .

It is a super-2 number, since 2×141939722 = 402937682273568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14193979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4918 + ... + 7250.

Almost surely, 214193972 is an apocalyptic number.

14193972 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 14193972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19434051).

14193972 is an abundant number, since it is smaller than the sum of its proper divisors (24674130).

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

14193972 is a wasteful number, since it uses less digits than its factorization.

14193972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2351 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 14193972 is about 3767.4888188288. The cubic root of 14193972 is about 242.1222204386.

The spelling of 14193972 in words is "fourteen million, one hundred ninety-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2333 3042 4666 6084 6999 9332 13998 20997 27996 30329 41994 60658 83988 90987 121316 181974 272961 363948 394277 545922 788554 1091844 1182831 1577108 2365662 3548493 4731324 7096986 14193972