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29804720 = 2451123079
BaseRepresentation
bin111000110110…
…0100010110000
32002002020101112
41301230202300
530112222340
62542452452
7511223141
oct161544260
962066345
1029804720
1115907800
129b94128
13623713a
143d5bac8
15293b065
hex1c6c8b0

29804720 has 60 divisors (see below), whose sum is σ = 76193040. Its totient is φ = 10834560.

The previous prime is 29804717. The next prime is 29804737. The reversal of 29804720 is 2740892.

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 11 ways as a sum of consecutive naturals, for example, 8141 + ... + 11219.

It is an arithmetic number, because the mean of its divisors is an integer number (1269884).

Almost surely, 229804720 is an apocalyptic number.

29804720 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 29804720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38096520).

29804720 is an abundant number, since it is smaller than the sum of its proper divisors (46388320).

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

29804720 is a wasteful number, since it uses less digits than its factorization.

29804720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 29804720 is about 5459.3699270154. The cubic root of 29804720 is about 310.0475820129.

The spelling of 29804720 in words is "twenty-nine million, eight hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 3079 4840 6158 9680 12316 15395 24632 30790 33869 49264 61580 67738 123160 135476 169345 246320 270952 338690 372559 541904 677380 745118 1354760 1490236 1862795 2709520 2980472 3725590 5960944 7451180 14902360 29804720