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129270 = 23531139
BaseRepresentation
bin11111100011110110
320120022210
4133203312
513114040
62434250
71045611
oct374366
9216283
10129270
1189139
1262986
1346abb
1435178
1528480
hex1f8f6

129270 has 32 divisors (see below), whose sum is σ = 322560. Its totient is φ = 33120.

The previous prime is 129263. The next prime is 129277. The reversal of 129270 is 72921.

129270 = 302 + 312 + ... + 742.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (129263) and next prime (129277).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129277) by changing a digit.

129270 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, 861 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2129270 is an apocalyptic number.

129270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

129270 is an abundant number, since it is smaller than the sum of its proper divisors (193290).

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

129270 is a wasteful number, since it uses less digits than its factorization.

129270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 129270 is about 359.5413745315. The cubic root of 129270 is about 50.5629708203.

The spelling of 129270 in words is "one hundred twenty-nine thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 139 155 186 278 310 417 465 695 834 930 1390 2085 4170 4309 8618 12927 21545 25854 43090 64635 129270