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132102414 = 2341077621
BaseRepresentation
bin1111101111110…
…11100100001110
3100012120111110000
413313323210032
5232304234124
621035225130
73162565143
oct767734416
9305514400
10132102414
1168628554
12382a81a6
13214a3712
141378a3ca
15b8e66c9
hex7dfb90e

132102414 has 40 divisors (see below), whose sum is σ = 298812888. Its totient is φ = 43616880.

The previous prime is 132102413. The next prime is 132102437. The reversal of 132102414 is 414201231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132102413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13524 + ... + 21144.

Almost surely, 2132102414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132102414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149406444).

132102414 is an abundant number, since it is smaller than the sum of its proper divisors (166710474).

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

132102414 is a wasteful number, since it uses less digits than its factorization.

132102414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7742 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132102414 is about 11493.5814261700. The cubic root of 132102414 is about 509.2959836232.

Adding to 132102414 its reverse (414201231), we get a palindrome (546303645).

The spelling of 132102414 in words is "one hundred thirty-two million, one hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 963 1926 2889 5778 7621 8667 15242 17334 22863 45726 68589 137178 205767 411534 617301 815447 1234602 1630894 2446341 4892682 7339023 14678046 22017069 44034138 66051207 132102414