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29070 = 23251719
BaseRepresentation
bin111000110001110
31110212200
413012032
51412240
6342330
7150516
oct70616
943780
1029070
111a928
12149a6
1310302
14a846
158930
hex718e

29070 has 48 divisors (see below), whose sum is σ = 84240. Its totient is φ = 6912.

The previous prime is 29063. The next prime is 29077. The reversal of 29070 is 7092.

29070 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (29063) and next prime (29077).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

29070 is a Rhonda number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29077) by changing a digit.

29070 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 23 ways as a sum of consecutive naturals, for example, 1521 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

229070 is an apocalyptic number.

It is a pronic number, being equal to 170×171.

It is a practical number, because each smaller number is the sum of distinct divisors of 29070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42120).

29070 is an abundant number, since it is smaller than the sum of its proper divisors (55170).

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

29070 is a wasteful number, since it uses less digits than its factorization.

29070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 29070 is about 170.4992668606. The cubic root of 29070 is about 30.7478681846.

The spelling of 29070 in words is "twenty-nine thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 342 510 570 646 765 855 969 1530 1615 1710 1938 2907 3230 4845 5814 9690 14535 29070