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29134260 = 22325179521
BaseRepresentation
bin110111100100…
…0110110110100
32000211011200200
41233020312310
524424244020
62520240500
7502431351
oct157106664
960734620
1029134260
111549a001
129910130
136060c0c
143c25628
152857590
hex1bc8db4

29134260 has 72 divisors (see below), whose sum is σ = 93582216. Its totient is φ = 7311360.

The previous prime is 29134223. The next prime is 29134267. The reversal of 29134260 is 6243192.

It can be written as a sum of positive squares in 4 ways, for example, as 5280804 + 23853456 = 2298^2 + 4884^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29134267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1701 + ... + 7820.

It is an arithmetic number, because the mean of its divisors is an integer number (1299753).

Almost surely, 229134260 is an apocalyptic number.

29134260 is a gapful number since it is divisible by the number (20) 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 29134260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46791108).

29134260 is an abundant number, since it is smaller than the sum of its proper divisors (64447956).

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

29134260 is a wasteful number, since it uses less digits than its factorization.

29134260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9553 (or 9548 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 29134260 is about 5397.6161404828. The cubic root of 29134260 is about 307.7050783482.

The spelling of 29134260 in words is "twenty-nine million, one hundred thirty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 9521 19042 28563 38084 47605 57126 85689 95210 114252 142815 161857 171378 190420 285630 323714 342756 428445 485571 571260 647428 809285 856890 971142 1456713 1618570 1713780 1942284 2427855 2913426 3237140 4855710 5826852 7283565 9711420 14567130 29134260