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13141752 = 2331373577
BaseRepresentation
bin110010001000…
…011011111000
3220201200002120
4302020123320
511331014002
61145401240
7216463101
oct62103370
926650076
1013141752
117466658
124499220
1329518b0
141a613a8
151248cbc
hexc886f8

13141752 has 64 divisors (see below), whose sum is σ = 35928480. Its totient is φ = 3981312.

The previous prime is 13141741. The next prime is 13141753. The reversal of 13141752 is 25714131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141753) 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 15 ways as a sum of consecutive naturals, for example, 22488 + ... + 23064.

Almost surely, 213141752 is an apocalyptic number.

13141752 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 13141752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964240).

13141752 is an abundant number, since it is smaller than the sum of its proper divisors (22786728).

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

13141752 is a wasteful number, since it uses less digits than its factorization.

13141752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 13141752 is about 3625.1554449430. The cubic root of 13141752 is about 235.9850129332.

Adding to 13141752 its reverse (25714131), we get a palindrome (38855883).

The spelling of 13141752 in words is "thirteen million, one hundred forty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 577 584 876 949 1154 1731 1752 1898 2308 2847 3462 3796 4616 5694 6924 7501 7592 11388 13848 15002 22503 22776 30004 42121 45006 60008 84242 90012 126363 168484 180024 252726 336968 505452 547573 1010904 1095146 1642719 2190292 3285438 4380584 6570876 13141752