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678942 = 23511127
BaseRepresentation
bin10100101110000011110
31021111100000
42211300132
5133211232
622315130
75525265
oct2456036
91244300
10678942
11424110
12288aa6
131aa054
141395dc
15d627c
hexa5c1e

678942 has 48 divisors (see below), whose sum is σ = 1677312. Its totient is φ = 204120.

The previous prime is 678941. The next prime is 678943. The reversal of 678942 is 249876.

678942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (678941) and next prime (678943).

It is a junction number, because it is equal to n+sod(n) for n = 678897 and 678906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5283 + ... + 5409.

It is an arithmetic number, because the mean of its divisors is an integer number (34944).

2678942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838656).

678942 is an abundant number, since it is smaller than the sum of its proper divisors (998370).

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

678942 is a wasteful number, since it uses less digits than its factorization.

678942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 678942 is about 823.9793686738. The cubic root of 678942 is about 87.8909634387.

It can be divided in two parts, 67894 and 2, that added together give a triangular number (67896 = T368).

The spelling of 678942 in words is "six hundred seventy-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 127 162 198 243 254 297 381 486 594 762 891 1143 1397 1782 2286 2673 2794 3429 4191 5346 6858 8382 10287 12573 20574 25146 30861 37719 61722 75438 113157 226314 339471 678942