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89070240 = 253573541
BaseRepresentation
bin1010100111100…
…01101010100000
320012121020101210
411103301222200
5140300221430
612501030120
72131041000
oct523615240
9205536353
1089070240
1146306876
12259b5340
13155b79ac
14bb88000
157c462b0
hex54f1aa0

89070240 has 192 divisors, whose sum is σ = 327801600. Its totient is φ = 20321280.

The previous prime is 89070229. The next prime is 89070251. The reversal of 89070240 is 4207098.

It is an interprime number because it is at equal distance from previous prime (89070229) and next prime (89070251).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 89070198 and 89070207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164370 + ... + 164910.

It is an arithmetic number, because the mean of its divisors is an integer number (1707300).

Almost surely, 289070240 is an apocalyptic number.

89070240 is a gapful number since it is divisible by the number (80) 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 89070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163900800).

89070240 is an abundant number, since it is smaller than the sum of its proper divisors (238731360).

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

89070240 is a wasteful number, since it uses less digits than its factorization.

89070240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 89070240 is about 9437.7031103971. The cubic root of 89070240 is about 446.5919332407.

The spelling of 89070240 in words is "eighty-nine million, seventy thousand, two hundred forty".