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89131068 = 223213172659
BaseRepresentation
bin1010101000000…
…00100000111100
320012201022211200
411110000200330
5140304143233
612502215500
72131413225
oct524004074
9205638750
1089131068
1146348544
1225a24590
13156095a0
14bba224c
157c59313
hex550083c

89131068 has 108 divisors (see below), whose sum is σ = 258137880. Its totient is φ = 25772544.

The previous prime is 89131061. The next prime is 89131099. The reversal of 89131068 is 86013198.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89131061) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134923 + ... + 135581.

Almost surely, 289131068 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 89131068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129068940).

89131068 is an abundant number, since it is smaller than the sum of its proper divisors (169006812).

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

89131068 is a wasteful number, since it uses less digits than its factorization.

89131068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 89131068 is about 9440.9251665290. The cubic root of 89131068 is about 446.6935725482.

The spelling of 89131068 in words is "eighty-nine million, one hundred thirty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 289 306 442 468 578 612 659 663 867 884 1156 1318 1326 1734 1977 1989 2601 2636 2652 3468 3757 3954 3978 5202 5931 7514 7908 7956 8567 10404 11203 11271 11862 15028 17134 22406 22542 23724 25701 33609 33813 34268 44812 45084 51402 67218 67626 77103 100827 102804 134436 135252 145639 154206 190451 201654 291278 308412 380902 403308 436917 571353 582556 761804 873834 1142706 1310751 1714059 1747668 2285412 2475863 2621502 3428118 4951726 5243004 6856236 7427589 9903452 14855178 22282767 29710356 44565534 89131068