Search a number
-
+
29029104 = 2434131723
BaseRepresentation
bin110111010111…
…1001011110000
32000121211110000
41232233023300
524412412404
62514110000
7501512646
oct156571360
960554400
1029029104
1115427aa5
12987b300
1360250b0
143bd9196
152836339
hex1baf2f0

29029104 has 100 divisors (see below), whose sum is σ = 90534136. Its totient is φ = 8926848.

The previous prime is 29029079. The next prime is 29029123. The reversal of 29029104 is 40192092.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15987 + ... + 17709.

Almost surely, 229029104 is an apocalyptic number.

29029104 is a gapful number since it is divisible by the number (24) 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 29029104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45267068).

29029104 is an abundant number, since it is smaller than the sum of its proper divisors (61505032).

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

29029104 is a wasteful number, since it uses less digits than its factorization.

29029104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 29029104 is about 5387.8663680533. The cubic root of 29029104 is about 307.3344260319.

The spelling of 29029104 in words is "twenty-nine million, twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1723 1872 2106 2808 3446 4212 5169 5616 6892 8424 10338 13784 15507 16848 20676 22399 27568 31014 41352 44798 46521 62028 67197 82704 89596 93042 124056 134394 139563 179192 186084 201591 248112 268788 279126 358384 372168 403182 537576 558252 604773 744336 806364 1075152 1116504 1209546 1612728 1814319 2233008 2419092 3225456 3628638 4838184 7257276 9676368 14514552 29029104