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29421630 = 234575189
BaseRepresentation
bin111000000111…
…1000000111110
32001100202220000
41300033000332
530012443010
62530335130
7505036230
oct160170076
961322800
1029421630
11156759a7
129a2a4a6
136131964
143c9c250
1528b27c0
hex1c0f03e

29421630 has 80 divisors (see below), whose sum is σ = 90430560. Its totient is φ = 6723648.

The previous prime is 29421599. The next prime is 29421649. The reversal of 29421630 is 3612492.

29421630 is a `hidden beast` number, since 2 + 9 + 4 + 21 + 630 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 29421594 and 29421603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3076 + ... + 8264.

It is an arithmetic number, because the mean of its divisors is an integer number (1130382).

Almost surely, 229421630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29421630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45215280).

29421630 is an abundant number, since it is smaller than the sum of its proper divisors (61008930).

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

29421630 is a wasteful number, since it uses less digits than its factorization.

29421630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 29421630 is about 5424.1709043871. The cubic root of 29421630 is about 308.7134680068.

The spelling of 29421630 in words is "twenty-nine million, four hundred twenty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5189 5670 10378 15567 25945 31134 36323 46701 51890 72646 77835 93402 108969 140103 155670 181615 217938 233505 280206 326907 363230 420309 467010 544845 653814 700515 840618 980721 1089690 1401030 1634535 1961442 2101545 2942163 3269070 4203090 4903605 5884326 9807210 14710815 29421630