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88168340 = 225133110939
BaseRepresentation
bin1010100000101…
…01011110010100
320010220102020002
411100111132110
5140032341330
612425430432
72120263361
oct520253624
9203812202
1088168340
11458501a7
122563b418
1315360320
14b9d1468
157b18e45
hex5415794

88168340 has 48 divisors (see below), whose sum is σ = 205847040. Its totient is φ = 31501440.

The previous prime is 88168331. The next prime is 88168357. The reversal of 88168340 is 4386188.

It is a junction number, because it is equal to n+sod(n) for n = 88168294 and 88168303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2591 + ... + 13529.

It is an arithmetic number, because the mean of its divisors is an integer number (4288480).

Almost surely, 288168340 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 88168340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102923520).

88168340 is an abundant number, since it is smaller than the sum of its proper divisors (117678700).

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

88168340 is a wasteful number, since it uses less digits than its factorization.

88168340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10992 (or 10990 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 88168340 is about 9389.7997848729. The cubic root of 88168340 is about 445.0794623069.

The spelling of 88168340 in words is "eighty-eight million, one hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 10939 21878 43756 54695 109390 142207 218780 284414 339109 568828 678218 711035 1356436 1422070 1695545 2844140 3391090 4408417 6782180 8816834 17633668 22042085 44084170 88168340