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29130600 = 23352471033
BaseRepresentation
bin110111100011…
…1111101101000
32000210222200010
41233013331220
524424134400
62520211520
7502414602
oct157077550
960728603
1029130600
1115497284
129909ba0
13605c355
143c24172
152856450
hex1bc7f68

29130600 has 96 divisors (see below), whose sum is σ = 92315520. Its totient is φ = 7595520.

The previous prime is 29130599. The next prime is 29130631. The reversal of 29130600 is 603192.

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, 27684 + ... + 28716.

It is an arithmetic number, because the mean of its divisors is an integer number (961620).

Almost surely, 229130600 is an apocalyptic number.

29130600 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 29130600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46157760).

29130600 is an abundant number, since it is smaller than the sum of its proper divisors (63184920).

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

29130600 is a wasteful number, since it uses less digits than its factorization.

29130600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 29130600 is about 5397.2770912748. The cubic root of 29130600 is about 307.6921926282.

Adding to 29130600 its reverse (603192), we get a palindrome (29733792).

The spelling of 29130600 in words is "twenty-nine million, one hundred thirty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1033 1128 1175 1410 1880 2066 2350 2820 3099 3525 4132 4700 5165 5640 6198 7050 8264 9400 10330 12396 14100 15495 20660 24792 25825 28200 30990 41320 48551 51650 61980 77475 97102 103300 123960 145653 154950 194204 206600 242755 291306 309900 388408 485510 582612 619800 728265 971020 1165224 1213775 1456530 1942040 2427550 2913060 3641325 4855100 5826120 7282650 9710200 14565300 29130600