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13342152 = 2333179227
BaseRepresentation
bin110010111001…
…010111001000
3221002211222210
4302321113020
511403422102
61153545120
7221256255
oct62712710
927084883
1013342152
11759317a
1245751a0
1329c1b85
141ab442c
15128836c
hexcb95c8

13342152 has 64 divisors (see below), whose sum is σ = 35020800. Its totient is φ = 4230720.

The previous prime is 13342129. The next prime is 13342157. The reversal of 13342152 is 25124331.

13342152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133421522 = 356026039982208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58663 + ... + 58889.

It is an arithmetic number, because the mean of its divisors is an integer number (547200).

Almost surely, 213342152 is an apocalyptic number.

13342152 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 13342152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510400).

13342152 is an abundant number, since it is smaller than the sum of its proper divisors (21678648).

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

13342152 is a wasteful number, since it uses less digits than its factorization.

13342152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 13342152 is about 3652.6910627645. The cubic root of 13342152 is about 237.1784872053.

Adding to 13342152 its reverse (25124331), we get a palindrome (38466483).

It can be divided in two parts, 1334 and 2152, that added together give a triangular number (3486 = T83).

The spelling of 13342152 in words is "thirteen million, three hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 79 93 124 158 186 227 237 248 316 372 454 474 632 681 744 908 948 1362 1816 1896 2449 2724 4898 5448 7037 7347 9796 14074 14694 17933 19592 21111 28148 29388 35866 42222 53799 56296 58776 71732 84444 107598 143464 168888 215196 430392 555923 1111846 1667769 2223692 3335538 4447384 6671076 13342152