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81474120 = 23335713829
BaseRepresentation
bin1001101101100…
…11001001001000
312200022022111000
410312303021020
5131324132440
612030135000
72006342610
oct466631110
9180268430
1081474120
1141a98792
1223351460
1313b58350
14ab6ba40
157245730
hex4db3248

81474120 has 256 divisors, whose sum is σ = 334656000. Its totient is φ = 17169408.

The previous prime is 81474067. The next prime is 81474139. The reversal of 81474120 is 2147418.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97866 + ... + 98694.

It is an arithmetic number, because the mean of its divisors is an integer number (1307250).

Almost surely, 281474120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81474120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167328000).

81474120 is an abundant number, since it is smaller than the sum of its proper divisors (253181880).

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

81474120 is a wasteful number, since it uses less digits than its factorization.

81474120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 81474120 is about 9026.3015681950. The cubic root of 81474120 is about 433.5174260544.

The spelling of 81474120 in words is "eighty-one million, four hundred seventy-four thousand, one hundred twenty".