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74009880 = 23325743683
BaseRepresentation
bin1000110100101…
…00110100011000
312011021002110200
410122110310120
5122421304010
611202142200
71556034150
oct432246430
9164232420
1074009880
113885a79a
1220951960
1312443a39
149b87760
15676dcc0
hex4694d18

74009880 has 192 divisors, whose sum is σ = 281698560. Its totient is φ = 16498944.

The previous prime is 74009869. The next prime is 74009893. The reversal of 74009880 is 8890047.

It is a super-2 number, since 2×740098802 = 10954924675228800, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 108019 + ... + 108701.

It is an arithmetic number, because the mean of its divisors is an integer number (1467180).

Almost surely, 274009880 is an apocalyptic number.

74009880 is a gapful number since it is divisible by the number (70) 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 74009880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140849280).

74009880 is an abundant number, since it is smaller than the sum of its proper divisors (207688680).

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

74009880 is a wasteful number, since it uses less digits than its factorization.

74009880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 74009880 is about 8602.8995112113. The cubic root of 74009880 is about 419.8523290377.

The spelling of 74009880 in words is "seventy-four million, nine thousand, eight hundred eighty".