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132121626 = 23713241981
BaseRepresentation
bin1111110000000…
…00010000011010
3100012121110210120
413320000100122
5232310343001
621035454110
73163005150
oct770002032
9305543716
10132121626
1168640a2a
12382b7336
13214ac3a0
14137933d0
15b8ec236
hex7e0041a

132121626 has 32 divisors (see below), whose sum is σ = 325223808. Its totient is φ = 34845120.

The previous prime is 132121621. The next prime is 132121643. The reversal of 132121626 is 626121231.

It is a super-2 number, since 2×1321216262 = 34912248113767752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132121596 and 132121605.

It is not an unprimeable number, because it can be changed into a prime (132121621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120445 + ... + 121536.

It is an arithmetic number, because the mean of its divisors is an integer number (10163244).

Almost surely, 2132121626 is an apocalyptic number.

132121626 is an abundant number, since it is smaller than the sum of its proper divisors (193102182).

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

132121626 is a wasteful number, since it uses less digits than its factorization.

132121626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242006.

The product of its digits is 864, while the sum is 24.

The square root of 132121626 is about 11494.4171666074. The cubic root of 132121626 is about 509.3206718426.

Adding to 132121626 its reverse (626121231), we get a palindrome (758242857).

The spelling of 132121626 in words is "one hundred thirty-two million, one hundred twenty-one thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 241981 483962 725943 1451886 1693867 3145753 3387734 5081601 6291506 9437259 10163202 18874518 22020271 44040542 66060813 132121626