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93016 = 23711151
BaseRepresentation
bin10110101101011000
311201121001
4112231120
510434031
61554344
7535120
oct265530
9151531
1093016
1163980
12459b4
1333451
1425c80
151c861
hex16b58

93016 has 32 divisors (see below), whose sum is σ = 218880. Its totient is φ = 36000.

The previous prime is 93001. The next prime is 93047. The reversal of 93016 is 61039.

It is a junction number, because it is equal to n+sod(n) for n = 92984 and 93002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541 + ... + 691.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

293016 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 93016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109440).

93016 is an abundant number, since it is smaller than the sum of its proper divisors (125864).

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

93016 is a wasteful number, since it uses less digits than its factorization.

93016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 93016 is about 304.9852455448. The cubic root of 93016 is about 45.3091470369.

It can be divided in two parts, 930 and 16, that added together give a triangular number (946 = T43).

The spelling of 93016 in words is "ninety-three thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 151 154 302 308 604 616 1057 1208 1661 2114 3322 4228 6644 8456 11627 13288 23254 46508 93016