Search a number
-
+
29262140 = 22531109433
BaseRepresentation
bin110111110100…
…0000100111100
32001001200002222
41233220010330
524442342030
62523104512
7503503235
oct157500474
961050088
1029262140
1115577096
129972138
1360a719b
143c5a08c
1528803e5
hex1be813c

29262140 has 48 divisors (see below), whose sum is σ = 64162560. Its totient is φ = 11197440.

The previous prime is 29262133. The next prime is 29262143. The reversal of 29262140 is 4126292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29262143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67364 + ... + 67796.

It is an arithmetic number, because the mean of its divisors is an integer number (1336720).

Almost surely, 229262140 is an apocalyptic number.

29262140 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 29262140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32081280).

29262140 is an abundant number, since it is smaller than the sum of its proper divisors (34900420).

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

29262140 is a wasteful number, since it uses less digits than its factorization.

29262140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 29262140 is about 5409.4491401621. The cubic root of 29262140 is about 308.1546280416.

The spelling of 29262140 in words is "twenty-nine million, two hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 109 124 155 218 310 433 436 545 620 866 1090 1732 2165 2180 3379 4330 6758 8660 13423 13516 16895 26846 33790 47197 53692 67115 67580 94394 134230 188788 235985 268460 471970 943940 1463107 2926214 5852428 7315535 14631070 29262140