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1966680 = 23345607
BaseRepresentation
bin111100000001001011000
310200220210000
413200021120
51000413210
6110053000
722500522
oct7401130
93626700
101966680
111123661
127aa160
1353b221
14392a12
1528cac0
hex1e0258

1966680 has 80 divisors (see below), whose sum is σ = 6621120. Its totient is φ = 523584.

The previous prime is 1966669. The next prime is 1966681. The reversal of 1966680 is 866691.

1966680 is nontrivially palindromic in base 7.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2937 + ... + 3543.

It is an arithmetic number, because the mean of its divisors is an integer number (82764).

21966680 is an apocalyptic number.

1966680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1966680 is the 810-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310560).

1966680 is an abundant number, since it is smaller than the sum of its proper divisors (4654440).

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

1966680 is a wasteful number, since it uses less digits than its factorization.

1966680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1966680 is about 1402.3836850163. The cubic root of 1966680 is about 125.2885069310.

The spelling of 1966680 in words is "one million, nine hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 607 648 810 1080 1214 1620 1821 2428 3035 3240 3642 4856 5463 6070 7284 9105 10926 12140 14568 16389 18210 21852 24280 27315 32778 36420 43704 49167 54630 65556 72840 81945 98334 109260 131112 163890 196668 218520 245835 327780 393336 491670 655560 983340 1966680