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89138106 = 23217377873
BaseRepresentation
bin1010101000000…
…10001110111010
320012201200111100
411110002032322
5140304404411
612502312230
72131442601
oct524021672
9205650440
1089138106
1146352862
1225a28676
131560c855
14bba4a38
157c5b456
hex55023ba

89138106 has 48 divisors (see below), whose sum is σ = 210046824. Its totient is φ = 27205632.

The previous prime is 89138057. The next prime is 89138117. The reversal of 89138106 is 60183198.

It can be written as a sum of positive squares in 4 ways, for example, as 80192025 + 8946081 = 8955^2 + 2991^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7386 + ... + 15258.

Almost surely, 289138106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89138106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105023412).

89138106 is an abundant number, since it is smaller than the sum of its proper divisors (120908718).

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

89138106 is a wasteful number, since it uses less digits than its factorization.

89138106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7935 (or 7932 counting only the distinct ones).

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

The square root of 89138106 is about 9441.2978980647. The cubic root of 89138106 is about 446.7053295658.

The spelling of 89138106 in words is "eighty-nine million, one hundred thirty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 7873 11322 15746 23619 47238 70857 133841 141714 267682 291301 401523 582602 803046 873903 1204569 1747806 2409138 2621709 4952117 5243418 9904234 14856351 29712702 44569053 89138106