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13342392 = 23327231151
BaseRepresentation
bin110010111001…
…011010111000
3221002212022200
4302321122320
511403424032
61153550200
7221260050
oct62713270
927085280
1013342392
117593378
124575360
1329c200b
141ab4560
15128847c
hexcb96b8

13342392 has 96 divisors (see below), whose sum is σ = 43130880. Its totient is φ = 3643200.

The previous prime is 13342387. The next prime is 13342393. The reversal of 13342392 is 29324331.

It is a happy number.

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 (13342393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11017 + ... + 12167.

It is an arithmetic number, because the mean of its divisors is an integer number (449280).

Almost surely, 213342392 is an apocalyptic number.

13342392 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 13342392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21565440).

13342392 is an abundant number, since it is smaller than the sum of its proper divisors (29788488).

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

13342392 is a wasteful number, since it uses less digits than its factorization.

13342392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1186 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 13342392 is about 3652.7239151077. The cubic root of 13342392 is about 237.1799093271.

The spelling of 13342392 in words is "thirteen million, three hundred forty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1151 1288 1449 1656 1932 2302 2898 3453 3864 4604 5796 6906 8057 9208 10359 11592 13812 16114 20718 24171 26473 27624 32228 41436 48342 52946 64456 72513 79419 82872 96684 105892 145026 158838 185311 193368 211784 238257 290052 317676 370622 476514 555933 580104 635352 741244 953028 1111866 1482488 1667799 1906056 2223732 3335598 4447464 6671196 13342392