Search a number
-
+
29722140 = 2234572621
BaseRepresentation
bin111000101100…
…0011000011100
32001221001010000
41301120120130
530102102030
62541014300
7510430320
oct161303034
961831100
1029722140
1115860758
129b54390
136208686
143d39980
152921860
hex1c5861c

29722140 has 120 divisors (see below), whose sum is σ = 106600032. Its totient is φ = 6791040.

The previous prime is 29722127. The next prime is 29722151. The reversal of 29722140 is 4122792.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10030 + ... + 12650.

Almost surely, 229722140 is an apocalyptic number.

29722140 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 29722140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53300016).

29722140 is an abundant number, since it is smaller than the sum of its proper divisors (76877892).

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

29722140 is a wasteful number, since it uses less digits than its factorization.

29722140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 29722140 is about 5451.8015371068. The cubic root of 29722140 is about 309.7609673139.

The spelling of 29722140 in words is "twenty-nine million, seven hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2621 2835 3780 5242 5670 7863 10484 11340 13105 15726 18347 23589 26210 31452 36694 39315 47178 52420 55041 70767 73388 78630 91735 94356 110082 117945 141534 157260 165123 183470 212301 220164 235890 275205 283068 330246 353835 366940 424602 471780 495369 550410 660492 707670 825615 849204 990738 1061505 1100820 1415340 1486107 1651230 1981476 2123010 2476845 2972214 3302460 4246020 4953690 5944428 7430535 9907380 14861070 29722140