Search a number
-
+
29079860 = 2251731289
BaseRepresentation
bin110111011101…
…1100100110100
32000201102001212
41232323210310
524421023420
62515140552
7502113635
oct156734464
960642055
1029079860
1115462147
1298a4758
136042224
143c0d88c
1528463c5
hex1bbb934

29079860 has 72 divisors (see below), whose sum is σ = 67563720. Its totient is φ = 10475520.

The previous prime is 29079833. The next prime is 29079871. The reversal of 29079860 is 6897092.

It can be written as a sum of positive squares in 4 ways, for example, as 2598544 + 26481316 = 1612^2 + 5146^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326696 + ... + 326784.

It is an arithmetic number, because the mean of its divisors is an integer number (938385).

Almost surely, 229079860 is an apocalyptic number.

29079860 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 29079860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33781860).

29079860 is an abundant number, since it is smaller than the sum of its proper divisors (38483860).

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

29079860 is a wasteful number, since it uses less digits than its factorization.

29079860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 29079860 is about 5392.5745242880. The cubic root of 29079860 is about 307.5134415875.

The spelling of 29079860 in words is "twenty-nine million, seventy-nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 89 124 155 170 178 310 340 356 445 527 620 890 961 1054 1513 1780 1922 2108 2635 2759 3026 3844 4805 5270 5518 6052 7565 9610 10540 11036 13795 15130 16337 19220 27590 30260 32674 46903 55180 65348 81685 85529 93806 163370 171058 187612 234515 326740 342116 427645 469030 855290 938060 1453993 1710580 2907986 5815972 7269965 14539930 29079860