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3663036 = 2233132609
BaseRepresentation
bin1101111110010010111100
320220002202000
431332102330
51414204121
6210302300
743064256
oct15762274
96802660
103663036
112082103
121287990
139b33a0
146b4cd6
154c5526
hex37e4bc

3663036 has 48 divisors (see below), whose sum is σ = 10231200. Its totient is φ = 1126656.

The previous prime is 3663031. The next prime is 3663043. The reversal of 3663036 is 6303663.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100 + ... + 2708.

It is an arithmetic number, because the mean of its divisors is an integer number (213150).

Almost surely, 23663036 is an apocalyptic number.

3663036 is a gapful number since it is divisible by the number (36) 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 3663036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115600).

3663036 is an abundant number, since it is smaller than the sum of its proper divisors (6568164).

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

3663036 is a wasteful number, since it uses less digits than its factorization.

3663036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3663036 is about 1913.9059538023. The cubic root of 3663036 is about 154.1512541040.

Adding to 3663036 its reverse (6303663), we get a palindrome (9966699).

The spelling of 3663036 in words is "three million, six hundred sixty-three thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2609 5218 7827 10436 15654 23481 31308 33917 46962 67834 70443 93924 101751 135668 140886 203502 281772 305253 407004 610506 915759 1221012 1831518 3663036