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29430 = 2335109
BaseRepresentation
bin111001011110110
31111101000
413023312
51420210
6344130
7151542
oct71366
944330
1029430
1120125
1215046
131051b
14aa22
158ac0
hex72f6

29430 has 32 divisors (see below), whose sum is σ = 79200. Its totient is φ = 7776.

The previous prime is 29429. The next prime is 29437. The reversal of 29430 is 3492.

It is a super-2 number, since 2×294302 = 1732249800, which contains 22 as substring.

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.

It is a nialpdrome in base 9 and base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216 + ... + 324.

It is an arithmetic number, because the mean of its divisors is an integer number (2475).

229430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39600).

29430 is an abundant number, since it is smaller than the sum of its proper divisors (49770).

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

29430 is a wasteful number, since it uses less digits than its factorization.

29430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 29430 is about 171.5517414659. The cubic root of 29430 is about 30.8742739971.

Adding to 29430 its product of nonzero digits (216), we get a triangular number (29646 = T243).

It can be divided in two parts, 294 and 30, that added together give a square (324 = 182).

The spelling of 29430 in words is "twenty-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 327 545 654 981 1090 1635 1962 2943 3270 4905 5886 9810 14715 29430