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13724312 = 2372157223
BaseRepresentation
bin110100010110…
…101010011000
3221211021012212
4310112222120
512003134222
61210054252
7224440400
oct64265230
927737185
1013724312
117824308
12471a388
132ac6ac4
141b73800
1513116e2
hexd16a98

13724312 has 48 divisors (see below), whose sum is σ = 30260160. Its totient is φ = 5818176.

The previous prime is 13724311. The next prime is 13724323. The reversal of 13724312 is 21342731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13724311) 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 11 ways as a sum of consecutive naturals, for example, 61433 + ... + 61655.

It is an arithmetic number, because the mean of its divisors is an integer number (630420).

Almost surely, 213724312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13724312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130080).

13724312 is an abundant number, since it is smaller than the sum of its proper divisors (16535848).

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

13724312 is a wasteful number, since it uses less digits than its factorization.

13724312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 13724312 is about 3704.6338550523. The cubic root of 13724312 is about 239.4217095550.

The spelling of 13724312 in words is "thirteen million, seven hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 157 196 223 314 392 446 628 892 1099 1256 1561 1784 2198 3122 4396 6244 7693 8792 10927 12488 15386 21854 30772 35011 43708 61544 70022 87416 140044 245077 280088 490154 980308 1715539 1960616 3431078 6862156 13724312