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89062740 = 22345134229
BaseRepresentation
bin1010100111011…
…11110101010100
320012120212010000
411103233311110
5140300001430
612500531300
72131010064
oct523576524
9205525100
1089062740
1146301178
12259b0b30
13155b4460
14bb853a4
157c43e60
hex54efd54

89062740 has 120 divisors (see below), whose sum is σ = 300956040. Its totient is φ = 21917952.

The previous prime is 89062733. The next prime is 89062759. The reversal of 89062740 is 4726098.

It can be written as a sum of positive squares in 4 ways, for example, as 19607184 + 69455556 = 4428^2 + 8334^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 89062695 and 89062704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18946 + ... + 23174.

It is an arithmetic number, because the mean of its divisors is an integer number (2507967).

Almost surely, 289062740 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 89062740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150478020).

89062740 is an abundant number, since it is smaller than the sum of its proper divisors (211893300).

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

89062740 is a wasteful number, since it uses less digits than its factorization.

89062740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 89062740 is about 9437.3057595905. The cubic root of 89062740 is about 446.5793980643.

The spelling of 89062740 in words is "eighty-nine million, sixty-two thousand, seven hundred forty".

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 4229 5265 7020 8458 10530 12687 16916 21060 21145 25374 38061 42290 50748 54977 63435 76122 84580 109954 114183 126870 152244 164931 190305 219908 228366 253740 274885 329862 342549 380610 456732 494793 549770 570915 659724 685098 761220 824655 989586 1099540 1141830 1370196 1484379 1649310 1712745 1979172 2283660 2473965 2968758 3298620 3425490 4453137 4947930 5937516 6850980 7421895 8906274 9895860 14843790 17812548 22265685 29687580 44531370 89062740