Search a number
-
+
29720808 = 233213113281
BaseRepresentation
bin111000101100…
…0000011101000
32001220222021200
41301120003220
530102031213
62541004200
7510423405
oct161300350
961828250
1029720808
111585a757
129b53660
136207ba0
143d392ac
152921273
hex1c580e8

29720808 has 96 divisors (see below), whose sum is σ = 87764040. Its totient is φ = 9031680.

The previous prime is 29720797. The next prime is 29720839. The reversal of 29720808 is 80802792.

It can be written as a sum of positive squares in 4 ways, for example, as 13704804 + 16016004 = 3702^2 + 4002^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 105628 + ... + 105908.

Almost surely, 229720808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29720808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43882020).

29720808 is an abundant number, since it is smaller than the sum of its proper divisors (58043232).

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

29720808 is a wasteful number, since it uses less digits than its factorization.

29720808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 29720808 is about 5451.6793742846. The cubic root of 29720808 is about 309.7563399242.

The spelling of 29720808 in words is "twenty-nine million, seven hundred twenty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 113 117 156 226 234 281 312 339 452 468 562 678 843 904 936 1017 1124 1356 1469 1686 2034 2248 2529 2712 2938 3372 3653 4068 4407 5058 5876 6744 7306 8136 8814 10116 10959 11752 13221 14612 17628 20232 21918 26442 29224 31753 32877 35256 43836 52884 63506 65754 87672 95259 105768 127012 131508 190518 254024 263016 285777 381036 412789 571554 762072 825578 1143108 1238367 1651156 2286216 2476734 3302312 3715101 4953468 7430202 9906936 14860404 29720808