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29080320 = 28357573
BaseRepresentation
bin110111011101…
…1101100000000
32000201102200220
41232323230000
524421032240
62515143040
7502115163
oct156735400
960642626
1029080320
1115462525
1298a4a80
1360424b9
143c0dada
1528465d0
hex1bbbb00

29080320 has 72 divisors (see below), whose sum is σ = 92887536. Its totient is φ = 7753728.

The previous prime is 29080307. The next prime is 29080327. The reversal of 29080320 is 2308092.

It is a super-2 number, since 2×290803202 = 1691330022604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (29080327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54 + ... + 7626.

Almost surely, 229080320 is an apocalyptic number.

29080320 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 29080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46443768).

29080320 is an abundant number, since it is smaller than the sum of its proper divisors (63807216).

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

29080320 is an equidigital number, since it uses as much as digits as its factorization.

29080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7597 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 29080320 is about 5392.6171753611. The cubic root of 29080320 is about 307.5150630469.

The spelling of 29080320 in words is "twenty-nine million, eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 7573 15146 22719 30292 37865 45438 60584 75730 90876 113595 121168 151460 181752 227190 242336 302920 363504 454380 484672 605840 727008 908760 969344 1211680 1454016 1817520 1938688 2423360 2908032 3635040 4846720 5816064 7270080 9693440 14540160 29080320