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89989380 = 22345134273
BaseRepresentation
bin1010101110100…
…10000100000100
320021022221020000
411113102010010
5141014130010
612532441300
72141616465
oct527220404
9207287200
1089989380
1146884398
1226179230
131584a170
14bd46d6c
157d787c0
hex55d2104

89989380 has 120 divisors (see below), whose sum is σ = 304086552. Its totient is φ = 22146048.

The previous prime is 89989379. The next prime is 89989387. The reversal of 89989380 is 8398998.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 89984196 = 72^2 + 9486^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (89989387) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18924 + ... + 23196.

Almost surely, 289989380 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 89989380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152043276).

89989380 is an abundant number, since it is smaller than the sum of its proper divisors (214097172).

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

89989380 is a wasteful number, since it uses less digits than its factorization.

89989380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 89989380 is about 9486.2732408465. The cubic root of 89989380 is about 448.1228471037.

The spelling of 89989380 in words is "eighty-nine million, nine hundred eighty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 4273 5265 7020 8546 10530 12819 17092 21060 21365 25638 38457 42730 51276 55549 64095 76914 85460 111098 115371 128190 153828 166647 192285 222196 230742 256380 277745 333294 346113 384570 461484 499941 555490 576855 666588 692226 769140 833235 999882 1110980 1153710 1384452 1499823 1666470 1730565 1999764 2307420 2499705 2999646 3332940 3461130 4499469 4999410 5999292 6922260 7499115 8998938 9998820 14998230 17997876 22497345 29996460 44994690 89989380