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89064990 = 232571091297
BaseRepresentation
bin1010100111100…
…00011000011110
320012120222012100
411103300120132
5140300034430
612500545530
72131016460
oct523603036
9205528170
1089064990
1146302933
12259b22a6
13155b54a1
14bb86130
157c44960
hex54f061e

89064990 has 96 divisors (see below), whose sum is σ = 267284160. Its totient is φ = 20155392.

The previous prime is 89064967. The next prime is 89064991. The reversal of 89064990 is 9946098.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89064991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68022 + ... + 69318.

It is an arithmetic number, because the mean of its divisors is an integer number (2784210).

Almost surely, 289064990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89064990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133642080).

89064990 is an abundant number, since it is smaller than the sum of its proper divisors (178219170).

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

89064990 is a wasteful number, since it uses less digits than its factorization.

89064990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 89064990 is about 9437.4249665891. The cubic root of 89064990 is about 446.5831586911.

The spelling of 89064990 in words is "eighty-nine million, sixty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 109 126 210 218 315 327 545 630 654 763 981 1090 1297 1526 1635 1962 2289 2594 3270 3815 3891 4578 4905 6485 6867 7630 7782 9079 9810 11445 11673 12970 13734 18158 19455 22890 23346 27237 34335 38910 45395 54474 58365 68670 81711 90790 116730 136185 141373 163422 272370 282746 408555 424119 706865 817110 848238 989611 1272357 1413730 1979222 2120595 2544714 2968833 4241190 4948055 5937666 6361785 8906499 9896110 12723570 14844165 17812998 29688330 44532495 89064990