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13132035 = 325747887
BaseRepresentation
bin110010000110…
…000100000011
3220201011202200
4302012010003
511330211120
61145244243
7216422550
oct62060403
926634680
1013132035
11745a324
124493683
13294a347
141a5ba27
151245e90
hexc86103

13132035 has 48 divisors (see below), whose sum is σ = 26597376. Its totient is φ = 5868864.

The previous prime is 13132033. The next prime is 13132051. The reversal of 13132035 is 53023131.

It is not a de Polignac number, because 13132035 - 21 = 13132033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13131999 and 13132017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14362 + ... + 15248.

It is an arithmetic number, because the mean of its divisors is an integer number (554112).

Almost surely, 213132035 is an apocalyptic number.

13132035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13132035 is an abundant number, since it is smaller than the sum of its proper divisors (13465341).

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

13132035 is a wasteful number, since it uses less digits than its factorization.

13132035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13132035 is about 3623.8149787206. The cubic root of 13132035 is about 235.9268362211.

Adding to 13132035 its reverse (53023131), we get a palindrome (66155166).

The spelling of 13132035 in words is "thirteen million, one hundred thirty-two thousand, thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 63 105 141 235 315 329 423 705 887 987 1645 2115 2661 2961 4435 4935 6209 7983 13305 14805 18627 31045 39915 41689 55881 93135 125067 208445 279405 291823 375201 625335 875469 1459115 1876005 2626407 4377345 13132035