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132626634 = 2372676733
BaseRepresentation
bin1111110011110…
…11100011001010
3100020120010112120
413321323203022
5232423023014
621054352110
73200210400
oct771734312
9306503476
10132626634
1168956398
12384bb636
13216281ca
1413885470
15b99bba9
hex7e7b8ca

132626634 has 48 divisors (see below), whose sum is σ = 313211808. Its totient is φ = 37322208.

The previous prime is 132626633. The next prime is 132626647. The reversal of 132626634 is 436626231.

It is a junction number, because it is equal to n+sod(n) for n = 132626595 and 132626604.

It is not an unprimeable number, because it can be changed into a prime (132626633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16332 + ... + 23064.

It is an arithmetic number, because the mean of its divisors is an integer number (6525246).

Almost surely, 2132626634 is an apocalyptic number.

132626634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132626634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156605904).

132626634 is an abundant number, since it is smaller than the sum of its proper divisors (180585174).

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

132626634 is a wasteful number, since it uses less digits than its factorization.

132626634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6812 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 132626634 is about 11516.3637490312. The cubic root of 132626634 is about 509.9687716365.

The spelling of 132626634 in words is "one hundred thirty-two million, six hundred twenty-six thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 402 469 938 1407 2814 3283 6566 6733 9849 13466 19698 20199 40398 47131 94262 141393 282786 329917 451111 659834 902222 989751 1353333 1979502 2706666 3157777 6315554 9473331 18946662 22104439 44208878 66313317 132626634