Search a number
-
+
29068440 = 2335298353
BaseRepresentation
bin110111011100…
…0110010011000
32000200211101220
41232320302120
524420142230
62515012040
7502035432
oct156706230
960624356
1029068440
1115454605
12989a020
136039c7b
143c09652
152842d10
hex1bb8c98

29068440 has 64 divisors (see below), whose sum is σ = 90223200. Its totient is φ = 7483392.

The previous prime is 29068439. The next prime is 29068441. The reversal of 29068440 is 4486092.

It is an interprime number because it is at equal distance from previous prime (29068439) and next prime (29068441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29068441) 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, 697 + ... + 7656.

Almost surely, 229068440 is an apocalyptic number.

29068440 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 29068440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45111600).

29068440 is an abundant number, since it is smaller than the sum of its proper divisors (61154760).

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

29068440 is a wasteful number, since it uses less digits than its factorization.

29068440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 29068440 is about 5391.5155568727. The cubic root of 29068440 is about 307.4731816125.

The spelling of 29068440 in words is "twenty-nine million, sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 8353 16706 25059 33412 41765 50118 66824 83530 100236 125295 167060 200472 242237 250590 334120 484474 501180 726711 968948 1002360 1211185 1453422 1937896 2422370 2906844 3633555 4844740 5813688 7267110 9689480 14534220 29068440