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132005502 = 232193112451
BaseRepresentation
bin1111101111000…
…11111001111110
3100012101120111200
413313203321332
5232243134002
621033200330
73162012456
oct767437176
9305346450
10132005502
1168571762
12382600a6
132146b585
1413762d66
15b8c7b1c
hex7de3e7e

132005502 has 48 divisors (see below), whose sum is σ = 310801920. Its totient is φ = 40338000.

The previous prime is 132005501. The next prime is 132005509. The reversal of 132005502 is 205500231.

It is a happy number.

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 (132005501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4377 + ... + 16827.

It is an arithmetic number, because the mean of its divisors is an integer number (6475040).

Almost surely, 2132005502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132005502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155400960).

132005502 is an abundant number, since it is smaller than the sum of its proper divisors (178796418).

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

132005502 is a wasteful number, since it uses less digits than its factorization.

132005502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509 (or 12506 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 132005502 is about 11489.3647343968. The cubic root of 132005502 is about 509.1714111661.

Adding to 132005502 its reverse (205500231), we get a palindrome (337505733).

The spelling of 132005502 in words is "one hundred thirty-two million, five thousand, five hundred two".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 5301 10602 12451 24902 37353 74706 112059 224118 236569 385981 473138 709707 771962 1157943 1419414 2129121 2315886 3473829 4258242 6947658 7333639 14667278 22000917 44001834 66002751 132005502