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89272980 = 22325975113
BaseRepresentation
bin1010101001000…
…11001010010100
320012222112111200
411110203022110
5140323213410
612505232500
72132544036
oct524431224
9205875450
1089272980
1146435125
1225a92730
1315659064
14bbdbc56
157c863c0
hex5523294

89272980 has 72 divisors (see below), whose sum is σ = 273639912. Its totient is φ = 23556096.

The previous prime is 89272979. The next prime is 89272987. The reversal of 89272980 is 8927298.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 89075844 = 444^2 + 9438^2 .

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 (89272987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14904 + ... + 20016.

Almost surely, 289272980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89272980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136819956).

89272980 is an abundant number, since it is smaller than the sum of its proper divisors (184366932).

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

89272980 is a wasteful number, since it uses less digits than its factorization.

89272980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 89272980 is about 9448.4379661402. The cubic root of 89272980 is about 446.9305178550.

The spelling of 89272980 in words is "eighty-nine million, two hundred seventy-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5113 5820 8730 10226 15339 17460 20452 25565 30678 46017 51130 61356 76695 92034 102260 153390 184068 230085 306780 460170 495961 920340 991922 1487883 1983844 2479805 2975766 4463649 4959610 5951532 7439415 8927298 9919220 14878830 17854596 22318245 29757660 44636490 89272980