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29141840 = 2457134003
BaseRepresentation
bin110111100101…
…0101101010000
32000211120002102
41233022231100
524430014330
62520335532
7502462430
oct157125520
960746072
1029141840
11154a4772
1299145a8
1360644c0
143c282c0
152859945
hex1bcab50

29141840 has 80 divisors (see below), whose sum is σ = 83411328. Its totient is φ = 9220608.

The previous prime is 29141821. The next prime is 29141887. The reversal of 29141840 is 4814192.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5279 + ... + 9281.

Almost surely, 229141840 is an apocalyptic number.

29141840 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 29141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41705664).

29141840 is an abundant number, since it is smaller than the sum of its proper divisors (54269488).

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

29141840 is a wasteful number, since it uses less digits than its factorization.

29141840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 29141840 is about 5398.3182566425. The cubic root of 29141840 is about 307.7317617356.

The spelling of 29141840 in words is "twenty-nine million, one hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 4003 7280 8006 16012 20015 28021 32024 40030 52039 56042 64048 80060 104078 112084 140105 160120 208156 224168 260195 280210 320240 364273 416312 448336 520390 560420 728546 832624 1040780 1120840 1457092 1821365 2081560 2241680 2914184 3642730 4163120 5828368 7285460 14570920 29141840