Search a number
-
+
132402006 = 233111371627
BaseRepresentation
bin1111110010001…
…00101101010110
3100020010201102000
413321010231112
5232343331011
621045500130
73165253452
oct771045526
9306121360
10132402006
1168812650
1238411646
1321579ba9
1413827662
15b955356
hex7e44b56

132402006 has 64 divisors (see below), whose sum is σ = 323516160. Its totient is φ = 39804480.

The previous prime is 132401999. The next prime is 132402019. The reversal of 132402006 is 600204231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132402006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80565 + ... + 82191.

It is an arithmetic number, because the mean of its divisors is an integer number (5054940).

Almost surely, 2132402006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132402006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161758080).

132402006 is an abundant number, since it is smaller than the sum of its proper divisors (191114154).

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

132402006 is a wasteful number, since it uses less digits than its factorization.

132402006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132402006 is about 11506.6070585555. The cubic root of 132402006 is about 509.6806997886.

Adding to 132402006 its reverse (600204231), we get a palindrome (732606237).

The spelling of 132402006 in words is "one hundred thirty-two million, four hundred two thousand, six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 137 198 274 297 411 594 822 1233 1507 1627 2466 3014 3254 3699 4521 4881 7398 9042 9762 13563 14643 17897 27126 29286 35794 40689 43929 53691 81378 87858 107382 161073 222899 322146 445798 483219 668697 966438 1337394 2006091 2451889 4012182 4903778 6018273 7355667 12036546 14711334 22067001 44134002 66201003 132402006