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93690 = 2335347
BaseRepresentation
bin10110110111111010
311202112000
4112313322
510444230
62001430
7540102
oct266772
9152460
1093690
1164433
1246276
133384c
1426202
151cb60
hex16dfa

93690 has 32 divisors (see below), whose sum is σ = 250560. Its totient is φ = 24912.

The previous prime is 93683. The next prime is 93701. The reversal of 93690 is 9639.

It is a super-2 number, since 2×936902 = 17555632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 11.

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, 97 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (7830).

293690 is an apocalyptic number.

93690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 93690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125280).

93690 is an abundant number, since it is smaller than the sum of its proper divisors (156870).

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

93690 is a wasteful number, since it uses less digits than its factorization.

93690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 93690 is about 306.0882225764. The cubic root of 93690 is about 45.4183214428.

The spelling of 93690 in words is "ninety-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 347 694 1041 1735 2082 3123 3470 5205 6246 9369 10410 15615 18738 31230 46845 93690