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76069350 = 232527193141
BaseRepresentation
bin1001000100010…
…11100111100110
312022010201112100
410202023213212
5123433204400
611314232530
71612402350
oct442134746
9168121470
1076069350
1139a37035
1221585746
13129b5266
14a1620d0
156a29100
hex488b9e6

76069350 has 288 divisors, whose sum is σ = 259983360. Its totient is φ = 15552000.

The previous prime is 76069333. The next prime is 76069351. The reversal of 76069350 is 5396067.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76069351) 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 143 ways as a sum of consecutive naturals, for example, 1855330 + ... + 1855370.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 276069350 is an apocalyptic number.

76069350 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76069350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

76069350 is an abundant number, since it is smaller than the sum of its proper divisors (183914010).

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

76069350 is a wasteful number, since it uses less digits than its factorization.

76069350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 76069350 is about 8721.7744754150. The cubic root of 76069350 is about 423.7111588906.

The spelling of 76069350 in words is "seventy-six million, sixty-nine thousand, three hundred fifty".