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13922532 = 22321371419
BaseRepresentation
bin110101000111…
…000011100100
3222012100010100
4311013003210
512031010112
61214224100
7226224321
oct65070344
928170110
1013922532
11794a228
1247b5030
132b660b0
141bc5b48
1513502dc
hexd470e4

13922532 has 72 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 4213440.

The previous prime is 13922527. The next prime is 13922539. The reversal of 13922532 is 23522931.

It is a junction number, because it is equal to n+sod(n) for n = 13922496 and 13922505.

It is not an unprimeable number, because it can be changed into a prime (13922539) 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 23 ways as a sum of consecutive naturals, for example, 33019 + ... + 33437.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 213922532 is an apocalyptic number.

13922532 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 13922532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

13922532 is an abundant number, since it is smaller than the sum of its proper divisors (24603228).

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

13922532 is a wasteful number, since it uses less digits than its factorization.

13922532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 508 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 13922532 is about 3731.2909294238. The cubic root of 13922532 is about 240.5688589327.

The spelling of 13922532 in words is "thirteen million, nine hundred twenty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 419 426 468 639 838 852 923 1257 1278 1676 1846 2514 2556 2769 3692 3771 5028 5447 5538 7542 8307 10894 11076 15084 16341 16614 21788 29749 32682 33228 49023 59498 65364 89247 98046 118996 178494 196092 267741 356988 386737 535482 773474 1070964 1160211 1546948 2320422 3480633 4640844 6961266 13922532