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968070 = 23523261
BaseRepresentation
bin11101100010110000110
31211011221110
43230112012
5221434240
632425450
711141235
oct3542606
91734843
10968070
11601364
123a8286
1327b82c
141b2b1c
15141c80
hexec586

968070 has 48 divisors (see below), whose sum is σ = 2468592. Its totient is φ = 242880.

The previous prime is 968063. The next prime is 968089. The reversal of 968070 is 70869.

It is a happy number.

968070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 968070.

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, 15840 + ... + 15900.

It is an arithmetic number, because the mean of its divisors is an integer number (51429).

2968070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234296).

968070 is an abundant number, since it is smaller than the sum of its proper divisors (1500522).

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

968070 is a wasteful number, since it uses less digits than its factorization.

968070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 968070 is about 983.9054832655. The cubic root of 968070 is about 98.9241332849.

The spelling of 968070 in words is "nine hundred sixty-eight thousand, seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 61 69 115 122 138 183 230 305 345 366 529 610 690 915 1058 1403 1587 1830 2645 2806 3174 4209 5290 7015 7935 8418 14030 15870 21045 32269 42090 64538 96807 161345 193614 322690 484035 968070