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129996180 = 223254011801
BaseRepresentation
bin1111011111110…
…01010110010100
3100001121111020100
413233321112110
5231234334210
620522134100
73135643416
oct757712624
9301544210
10129996180
116741a066
1237651330
1320c16b22
141339c9b6
15b62c5c0
hex7bf9594

129996180 has 72 divisors (see below), whose sum is σ = 395524584. Its totient is φ = 34560000.

The previous prime is 129996131. The next prime is 129996187. The reversal of 129996180 is 81699921.

129996180 is a `hidden beast` number, since 1 + 29 + 9 + 9 + 618 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25220484 + 104775696 = 5022^2 + 10236^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129996187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71280 + ... + 73080.

It is an arithmetic number, because the mean of its divisors is an integer number (5493397).

Almost surely, 2129996180 is an apocalyptic number.

129996180 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 129996180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197762292).

129996180 is an abundant number, since it is smaller than the sum of its proper divisors (265528404).

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

129996180 is a wasteful number, since it uses less digits than its factorization.

129996180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 129996180 is about 11401.5867316791. The cubic root of 129996180 is about 506.5747399783.

It can be divided in two parts, 1299 and 96180, that added together give a palindrome (97479).

The spelling of 129996180 in words is "one hundred twenty-nine million, nine hundred ninety-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 802 1203 1604 1801 2005 2406 3602 3609 4010 4812 5403 6015 7204 7218 8020 9005 10806 12030 14436 16209 18010 18045 21612 24060 27015 32418 36020 36090 54030 64836 72180 81045 108060 162090 324180 722201 1444402 2166603 2888804 3611005 4333206 6499809 7222010 8666412 10833015 12999618 14444020 21666030 25999236 32499045 43332060 64998090 129996180