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29012820 = 2235617927
BaseRepresentation
bin110111010101…
…1001101010100
32000121000002220
41232223031110
524411402240
62513502340
7501414324
oct156531524
960530086
1029012820
1115416841
1298719b0
13601a865
143bd3284
1528315d0
hex1bab354

29012820 has 48 divisors (see below), whose sum is σ = 82578048. Its totient is φ = 7608960.

The previous prime is 29012813. The next prime is 29012827. The reversal of 29012820 is 2821092.

It is an interprime number because it is at equal distance from previous prime (29012813) and next prime (29012827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29012827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304 + ... + 7623.

It is an arithmetic number, because the mean of its divisors is an integer number (1720376).

Almost surely, 229012820 is an apocalyptic number.

29012820 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 29012820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41289024).

29012820 is an abundant number, since it is smaller than the sum of its proper divisors (53565228).

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

29012820 is a wasteful number, since it uses less digits than its factorization.

29012820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000 (or 7998 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 29012820 is about 5386.3549827318. The cubic root of 29012820 is about 307.2769484297.

The spelling of 29012820 in words is "twenty-nine million, twelve thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 7927 15854 23781 31708 39635 47562 79270 95124 118905 158540 237810 475620 483547 967094 1450641 1934188 2417735 2901282 4835470 5802564 7253205 9670940 14506410 29012820