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132206004 = 223272811867
BaseRepresentation
bin1111110000101…
…00110110110100
3100012202202112200
413320110312310
5232321043004
621041344500
73163506150
oct770246664
9305682480
10132206004
1168699367
1238338130
132150b908
14137b6060
15b917239
hex7e14db4

132206004 has 72 divisors (see below), whose sum is σ = 383492928. Its totient is φ = 37618560.

The previous prime is 132206003. The next prime is 132206021. The reversal of 132206004 is 400602231.

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 (132206003) 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, 69879 + ... + 71745.

Almost surely, 2132206004 is an apocalyptic number.

132206004 is a gapful number since it is divisible by the number (14) 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 132206004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191746464).

132206004 is an abundant number, since it is smaller than the sum of its proper divisors (251286924).

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

132206004 is a wasteful number, since it uses less digits than its factorization.

132206004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2160 counting only the distinct ones).

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

The square root of 132206004 is about 11498.0869713183. The cubic root of 132206004 is about 509.4290727547.

Adding to 132206004 its reverse (400602231), we get a palindrome (532808235).

The spelling of 132206004 in words is "one hundred thirty-two million, two hundred six thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 281 562 843 1124 1686 1867 1967 2529 3372 3734 3934 5058 5601 5901 7468 7868 10116 11202 11802 13069 16803 17703 22404 23604 26138 33606 35406 39207 52276 67212 70812 78414 117621 156828 235242 470484 524627 1049254 1573881 2098508 3147762 3672389 4721643 6295524 7344778 9443286 11017167 14689556 18886572 22034334 33051501 44068668 66103002 132206004