Search a number
-
+
89140098240 = 263553136979
BaseRepresentation
bin101001100000100101…
…0011111010011000000
322112002022211011200000
41103001022133103000
52430024331120430
6104541141400000
76303655222224
oct1230112372300
9275068734600
1089140098240
1134893297186
1215338a09000
13853792807b
144458a1c784
1524bab20e60
hex14c129f4c0

89140098240 has 336 divisors, whose sum is σ = 328226196480. Its totient is φ = 23003274240.

The previous prime is 89140098227. The next prime is 89140098253. The reversal of 89140098240 is 4289004198.

It is an interprime number because it is at equal distance from previous prime (89140098227) and next prime (89140098253).

It is a super-2 number, since 2×891400982402 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2392071 + ... + 2429049.

It is an arithmetic number, because the mean of its divisors is an integer number (976863680).

Almost surely, 289140098240 is an apocalyptic number.

89140098240 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 89140098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164113098240).

89140098240 is an abundant number, since it is smaller than the sum of its proper divisors (239086098240).

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

89140098240 is a wasteful number, since it uses less digits than its factorization.

89140098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37042 (or 37020 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 89140098240 in words is "eighty-nine billion, one hundred forty million, ninety-eight thousand, two hundred forty".