Search a number
-
+
29504020 = 22571322943
BaseRepresentation
bin111000010001…
…1001000010100
32001111221220111
41300203020110
530023112040
62532212404
7505531360
oct160431024
961457814
1029504020
1115721897
129a6a104
136160300
143cc02a0
1528cbdea
hex1c23214

29504020 has 144 divisors (see below), whose sum is σ = 81164160. Its totient is φ = 8805888.

The previous prime is 29504003. The next prime is 29504021. The reversal of 29504020 is 2040592.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 29503982 and 29504000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29504021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686119 + ... + 686161.

It is an arithmetic number, because the mean of its divisors is an integer number (563640).

Almost surely, 229504020 is an apocalyptic number.

29504020 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 29504020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40582080).

29504020 is an abundant number, since it is smaller than the sum of its proper divisors (51660140).

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

29504020 is a wasteful number, since it uses less digits than its factorization.

29504020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 29504020 is about 5431.7603039899. The cubic root of 29504020 is about 309.0013650125.

The spelling of 29504020 in words is "twenty-nine million, five hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 43 52 58 65 70 86 91 116 130 140 145 169 172 182 203 215 260 290 301 338 364 377 406 430 455 559 580 602 676 754 812 845 860 910 1015 1118 1183 1204 1247 1505 1508 1690 1820 1885 2030 2236 2366 2494 2639 2795 3010 3380 3770 3913 4060 4732 4901 4988 5278 5590 5915 6020 6235 7267 7540 7826 8729 9802 10556 11180 11830 12470 13195 14534 15652 16211 17458 19565 19604 23660 24505 24940 26390 29068 32422 34307 34916 36335 39130 43645 49010 50869 52780 64844 68614 72670 78260 81055 87290 98020 101738 113477 137228 145340 162110 171535 174580 203476 210743 226954 254345 324220 343070 421486 453908 508690 567385 686140 842972 1017380 1053715 1134770 1475201 2107430 2269540 2950402 4214860 5900804 7376005 14752010 29504020