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10800036 = 22321347491
BaseRepresentation
bin101001001100…
…101110100100
3202022200212100
4221030232210
510231100121
61023252100
7160540662
oct51145644
922280770
1010800036
116107255
12374a030
132311a70
141611c32
15e35026
hexa4cba4

10800036 has 72 divisors (see below), whose sum is σ = 30086784. Its totient is φ = 3245760.

The previous prime is 10800017. The next prime is 10800071. The reversal of 10800036 is 63000801.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10799991 and 10800018.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21751 + ... + 22241.

It is an arithmetic number, because the mean of its divisors is an integer number (417872).

Almost surely, 210800036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10800036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15043392).

10800036 is an abundant number, since it is smaller than the sum of its proper divisors (19286748).

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

10800036 is a wasteful number, since it uses less digits than its factorization.

10800036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10800036 is about 3286.3408222520. The cubic root of 10800036 is about 221.0421355203.

Adding to 10800036 its reverse (63000801), we get a palindrome (73800837).

The spelling of 10800036 in words is "ten million, eight hundred thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 491 564 611 846 982 1222 1473 1692 1833 1964 2444 2946 3666 4419 5499 5892 6383 7332 8838 10998 12766 17676 19149 21996 23077 25532 38298 46154 57447 69231 76596 92308 114894 138462 207693 229788 276924 300001 415386 600002 830772 900003 1200004 1800006 2700009 3600012 5400018 10800036