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3696966 = 2327133761
BaseRepresentation
bin1110000110100101000110
320221211021200
432012211012
51421300331
6211123330
743265220
oct16064506
96854250
103696966
1120a5649
1212a3546
139c5970
146c3410
154d05e6
hex386946

3696966 has 96 divisors (see below), whose sum is σ = 10291008. Its totient is φ = 933120.

The previous prime is 3696947. The next prime is 3696977. The reversal of 3696966 is 6696963.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60576 + ... + 60636.

It is an arithmetic number, because the mean of its divisors is an integer number (107198).

Almost surely, 23696966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3696966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145504).

3696966 is an abundant number, since it is smaller than the sum of its proper divisors (6594042).

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

3696966 is a wasteful number, since it uses less digits than its factorization.

3696966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 3696966 is about 1922.7495936809. The cubic root of 3696966 is about 154.6257498863.

The spelling of 3696966 in words is "three million, six hundred ninety-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 61 63 74 78 91 111 117 122 126 182 183 222 234 259 273 333 366 427 481 518 546 549 666 777 793 819 854 962 1098 1281 1443 1554 1586 1638 2257 2331 2379 2562 2886 3367 3843 4329 4514 4662 4758 5551 6734 6771 7137 7686 8658 10101 11102 13542 14274 15799 16653 20202 20313 29341 30303 31598 33306 40626 47397 49959 58682 60606 88023 94794 99918 142191 176046 205387 264069 284382 410774 528138 616161 1232322 1848483 3696966