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2361996 = 22327213103
BaseRepresentation
bin1001000000101010001100
311110000001100
421000222030
51101040441
6122343100
726035200
oct11005214
94400040
102361996
11137366a
1295aa90
13649140
14456b00
15319cb6
hex240a8c

2361996 has 108 divisors (see below), whose sum is σ = 7552272. Its totient is φ = 616896.

The previous prime is 2361991. The next prime is 2362001. The reversal of 2361996 is 6991632.

It is an interprime number because it is at equal distance from previous prime (2361991) and next prime (2362001).

It is a super-4 number, since 4×23619964 (a number of 27 digits) contains 4444 as substring.

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

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 2361996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2361991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22881 + ... + 22983.

22361996 is an apocalyptic number.

2361996 is a gapful number since it is divisible by the number (26) 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 2361996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776136).

2361996 is an abundant number, since it is smaller than the sum of its proper divisors (5190276).

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

2361996 is a wasteful number, since it uses less digits than its factorization.

2361996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 2361996 is about 1536.8786549367. The cubic root of 2361996 is about 133.1761286118.

The spelling of 2361996 in words is "two million, three hundred sixty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 103 117 126 147 156 182 196 206 234 252 273 294 309 364 412 441 468 546 588 618 637 721 819 882 927 1092 1236 1274 1339 1442 1638 1764 1854 1911 2163 2548 2678 2884 3276 3708 3822 4017 4326 5047 5356 5733 6489 7644 8034 8652 9373 10094 11466 12051 12978 15141 16068 18746 20188 22932 24102 25956 28119 30282 37492 45423 48204 56238 60564 65611 84357 90846 112476 131222 168714 181692 196833 262444 337428 393666 590499 787332 1180998 2361996