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29077920 = 2533553127
BaseRepresentation
bin110111011101…
…1000110100000
32000201022102000
41232323012200
524420443140
62515124000
7502105164
oct156730640
960638360
1029077920
1115460743
1298a3600
136041391
143c0cca4
152845a30
hex1bbb1a0

29077920 has 192 divisors, whose sum is σ = 104509440. Its totient is φ = 7547904.

The previous prime is 29077903. The next prime is 29077931. The reversal of 29077920 is 2977092.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 228897 + ... + 229023.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 229077920 is an apocalyptic number.

29077920 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 29077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

29077920 is an abundant number, since it is smaller than the sum of its proper divisors (75431520).

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

29077920 is a wasteful number, since it uses less digits than its factorization.

29077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 29077920 is about 5392.3946443116. The cubic root of 29077920 is about 307.5066030706.

It can be divided in two parts, 290 and 77920, that added together give a triangular number (78210 = T395).

The spelling of 29077920 in words is "twenty-nine million, seventy-seven thousand, nine hundred twenty".