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89303130 = 23257229619
BaseRepresentation
bin1010101001010…
…10100001011010
320020001001212100
411110222201122
5140330200010
612510024230
72133030660
oct524524132
9206031770
1089303130
1146455844
1225aa8076
13156699b7
14bc08c30
157c902c0
hex552a85a

89303130 has 96 divisors (see below), whose sum is σ = 266947200. Its totient is φ = 20290176.

The previous prime is 89303117. The next prime is 89303141. The reversal of 89303130 is 3130398.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 89303094 and 89303103.

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, 143961 + ... + 144579.

It is an arithmetic number, because the mean of its divisors is an integer number (2780700).

Almost surely, 289303130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89303130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133473600).

89303130 is an abundant number, since it is smaller than the sum of its proper divisors (177644070).

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

89303130 is a wasteful number, since it uses less digits than its factorization.

89303130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 89303130 is about 9450.0333332745. The cubic root of 89303130 is about 446.9808258670.

The spelling of 89303130 in words is "eighty-nine million, three hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 229 315 458 619 630 687 1145 1238 1374 1603 1857 2061 2290 3095 3206 3435 3714 4122 4333 4809 5571 6190 6870 8015 8666 9285 9618 10305 11142 12999 14427 16030 18570 20610 21665 24045 25998 27855 28854 38997 43330 48090 55710 64995 72135 77994 129990 141751 144270 194985 283502 389970 425253 708755 850506 992257 1275759 1417510 1984514 2126265 2551518 2976771 4252530 4961285 5953542 6378795 8930313 9922570 12757590 14883855 17860626 29767710 44651565 89303130