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696540 = 2235131947
BaseRepresentation
bin10101010000011011100
31022101110210
42222003130
5134242130
622532420
75630505
oct2520334
91271423
10696540
11436359
12297110
131b5070
14141bac
15db5b0
hexaa0dc

696540 has 96 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 158976.

The previous prime is 696533. The next prime is 696547. The reversal of 696540 is 45696.

It is an interprime number because it is at equal distance from previous prime (696533) and next prime (696547).

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

It is a junction number, because it is equal to n+sod(n) for n = 696498 and 696507.

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 696540.

It is not an unprimeable number, because it can be changed into a prime (696547) by changing a digit.

696540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14797 + ... + 14843.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2696540 is an apocalyptic number.

696540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 696540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

696540 is an abundant number, since it is smaller than the sum of its proper divisors (1561380).

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

696540 is a wasteful number, since it uses less digits than its factorization.

696540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 696540 is about 834.5897195629. The cubic root of 696540 is about 88.6438657209.

The spelling of 696540 in words is "six hundred ninety-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 47 52 57 60 65 76 78 94 95 114 130 141 156 188 190 195 228 235 247 260 282 285 380 390 470 494 564 570 611 705 741 780 893 940 988 1140 1222 1235 1410 1482 1786 1833 2444 2470 2679 2820 2964 3055 3572 3666 3705 4465 4940 5358 6110 7332 7410 8930 9165 10716 11609 12220 13395 14820 17860 18330 23218 26790 34827 36660 46436 53580 58045 69654 116090 139308 174135 232180 348270 696540