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29190 = 2357139
BaseRepresentation
bin111001000000110
31111001010
413020012
51413230
6343050
7151050
oct71006
944033
1029190
111aa27
1214a86
1310395
14a8d0
1589b0
hex7206

29190 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 6624.

The previous prime is 29179. The next prime is 29191. The reversal of 29190 is 9192.

29190 = T76 + T77 + ... + T84.

It is a happy number.

It is a super-2 number, since 2×291902 = 1704112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29191) by changing a digit.

29190 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

229190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

29190 is an abundant number, since it is smaller than the sum of its proper divisors (51450).

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

29190 is a wasteful number, since it uses less digits than its factorization.

29190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 29190 is about 170.8508121140. The cubic root of 29190 is about 30.7901188295.

The spelling of 29190 in words is "twenty-nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 139 210 278 417 695 834 973 1390 1946 2085 2919 4170 4865 5838 9730 14595 29190