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132404020 = 22572234241
BaseRepresentation
bin1111110010001…
…01001100110100
3100020010211011121
413321011030310
5232343412040
621045513324
73165262360
oct771051464
9306124147
10132404020
1168814111
1238412844
132157aa98
14138282a0
15b955c4a
hex7e45334

132404020 has 48 divisors (see below), whose sum is σ = 319269888. Its totient is φ = 45181440.

The previous prime is 132404003. The next prime is 132404023. The reversal of 132404020 is 20404231.

It is a junction number, because it is equal to n+sod(n) for n = 132403985 and 132404003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132404023) 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, 29100 + ... + 33340.

It is an arithmetic number, because the mean of its divisors is an integer number (6651456).

Almost surely, 2132404020 is an apocalyptic number.

132404020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159634944).

132404020 is an abundant number, since it is smaller than the sum of its proper divisors (186865868).

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

132404020 is a wasteful number, since it uses less digits than its factorization.

132404020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 132404020 is about 11506.6945731604. The cubic root of 132404020 is about 509.6832840690.

Adding to 132404020 its reverse (20404231), we get a palindrome (152808251).

The spelling of 132404020 in words is "one hundred thirty-two million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 892 1115 1561 2230 3122 4241 4460 6244 7805 8482 15610 16964 21205 29687 31220 42410 59374 84820 118748 148435 296870 593740 945743 1891486 3782972 4728715 6620201 9457430 13240402 18914860 26480804 33101005 66202010 132404020