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89135310 = 235112571051
BaseRepresentation
bin1010101000000…
…01100011001110
320012201112122210
411110001203032
5140304312220
612502251250
72131431465
oct524014316
9205645583
1089135310
1146350750
1225a26b26
131560b4b4
14bba39dc
157c5a6e0
hex55018ce

89135310 has 64 divisors (see below), whose sum is σ = 234503424. Its totient is φ = 21504000.

The previous prime is 89135287. The next prime is 89135329. The reversal of 89135310 is 1353198.

It is a happy number.

It is a super-2 number, since 2×891353102 = 15890206977592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84285 + ... + 85335.

It is an arithmetic number, because the mean of its divisors is an integer number (3664116).

Almost surely, 289135310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89135310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117251712).

89135310 is an abundant number, since it is smaller than the sum of its proper divisors (145368114).

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

89135310 is a wasteful number, since it uses less digits than its factorization.

89135310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 89135310 is about 9441.1498240416. The cubic root of 89135310 is about 446.7006589066.

The spelling of 89135310 in words is "eighty-nine million, one hundred thirty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 257 330 514 771 1051 1285 1542 2102 2570 2827 3153 3855 5255 5654 6306 7710 8481 10510 11561 14135 15765 16962 23122 28270 31530 34683 42405 57805 69366 84810 115610 173415 270107 346830 540214 810321 1350535 1620642 2701070 2971177 4051605 5942354 8103210 8913531 14855885 17827062 29711770 44567655 89135310