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91994112 = 2113272331
BaseRepresentation
bin1010111101110…
…11100000000000
320102002210012100
411132323200000
5142022302422
613043430400
72164636260
oct536734000
9212083170
1091994112
1147a235a1
1226985400
131609c7b2
14c3097a0
1581227ac
hex57bb800

91994112 has 288 divisors, whose sum is σ = 327075840. Its totient is φ = 24330240.

The previous prime is 91994107. The next prime is 91994113. The reversal of 91994112 is 21149919.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91994113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2967537 + ... + 2967567.

It is an arithmetic number, because the mean of its divisors is an integer number (1135680).

Almost surely, 291994112 is an apocalyptic number.

91994112 is a gapful number since it is divisible by the number (92) 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 91994112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

91994112 is an abundant number, since it is smaller than the sum of its proper divisors (235081728).

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

91994112 is a wasteful number, since it uses less digits than its factorization.

91994112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its digits is 5832, while the sum is 36.

The square root of 91994112 is about 9591.3561084969. The cubic root of 91994112 is about 451.4261127127.

The spelling of 91994112 in words is "ninety-one million, nine hundred ninety-four thousand, one hundred twelve".