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91740096 = 2632761373
BaseRepresentation
bin1010111011111…
…01011111000000
320101121212202100
411131331133000
5141441140341
613034150400
72162530560
oct535753700
9211555670
1091740096
114786a768
1226882400
1316010ca6
14c280da0
1580c23b6
hex577d7c0

91740096 has 168 divisors, whose sum is σ = 306267104. Its totient is φ = 25712640.

The previous prime is 91740053. The next prime is 91740119. The reversal of 91740096 is 69004719.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 91740096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245766 + ... + 246138.

Almost surely, 291740096 is an apocalyptic number.

91740096 is a gapful number since it is divisible by the number (96) 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 91740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153133552).

91740096 is an abundant number, since it is smaller than the sum of its proper divisors (214527008).

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

91740096 is a wasteful number, since it uses less digits than its factorization.

91740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 91740096 is about 9578.1050317900. The cubic root of 91740096 is about 451.0102340668.

The spelling of 91740096 in words is "ninety-one million, seven hundred forty thousand, ninety-six".