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91998720 = 29335113
BaseRepresentation
bin1010111101111…
…00101000000000
320102010000112000
411132330220000
5142022424340
613043504000
72164655562
oct536745000
9212100460
1091998720
1147a27000
1226988000
13160a1918
14c30b332
158123d30
hex57bca00

91998720 has 320 divisors, whose sum is σ = 359441280. Its totient is φ = 22302720.

The previous prime is 91998691. The next prime is 91998727. The reversal of 91998720 is 2789919.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91998727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8363515 + ... + 8363525.

It is an arithmetic number, because the mean of its divisors is an integer number (1123254).

Almost surely, 291998720 is an apocalyptic number.

91998720 is a gapful number since it is divisible by the number (90) 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 91998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179720640).

91998720 is an abundant number, since it is smaller than the sum of its proper divisors (267442560).

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

91998720 is an equidigital number, since it uses as much as digits as its factorization.

91998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 91998720 is about 9591.5963217809. The cubic root of 91998720 is about 451.4336499226.

The spelling of 91998720 in words is "ninety-one million, nine hundred ninety-eight thousand, seven hundred twenty".