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78390 = 23251367
BaseRepresentation
bin10011001000110110
310222112100
4103020312
510002030
61402530
7444354
oct231066
9128470
1078390
1153994
1239446
13298b0
14207d4
1518360
hex13236

78390 has 48 divisors (see below), whose sum is σ = 222768. Its totient is φ = 19008.

The previous prime is 78367. The next prime is 78401. The reversal of 78390 is 9387.

It is a happy number.

It is a super-2 number, since 2×783902 = 12289984200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78390.

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, 1137 + ... + 1203.

It is an arithmetic number, because the mean of its divisors is an integer number (4641).

278390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384).

78390 is an abundant number, since it is smaller than the sum of its proper divisors (144378).

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

78390 is a wasteful number, since it uses less digits than its factorization.

78390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 78390 is about 279.9821422877. The cubic root of 78390 is about 42.7976794386.

The spelling of 78390 in words is "seventy-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 67 78 90 117 130 134 195 201 234 335 390 402 585 603 670 871 1005 1170 1206 1742 2010 2613 3015 4355 5226 6030 7839 8710 13065 15678 26130 39195 78390