Search a number
-
+
10997844 = 223111321729
BaseRepresentation
bin101001111101…
…000001010100
3202200202012120
4221331001110
510303412334
61031415540
7162323454
oct51750124
922622176
1010997844
116231930
1238245b0
132380b00
141663d64
15e73949
hexa7d054

10997844 has 144 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 2795520.

The previous prime is 10997821. The next prime is 10997851. The reversal of 10997844 is 44879901.

It is a junction number, because it is equal to n+sod(n) for n = 10997796 and 10997805.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 379222 + ... + 379250.

It is an arithmetic number, because the mean of its divisors is an integer number (230580).

Almost surely, 210997844 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 10997844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

10997844 is an abundant number, since it is smaller than the sum of its proper divisors (22205676).

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

10997844 is a wasteful number, since it uses less digits than its factorization.

10997844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 10997844 is about 3316.2997451980. The cubic root of 10997844 is about 222.3834781043.

The spelling of 10997844 in words is "ten million, nine hundred ninety-seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 29 33 34 39 44 51 52 58 66 68 78 87 102 116 132 143 156 169 174 187 204 221 286 319 338 348 374 377 429 442 493 507 561 572 638 663 676 748 754 858 884 957 986 1014 1122 1131 1276 1326 1479 1508 1716 1859 1914 1972 2028 2244 2262 2431 2652 2873 2958 3718 3828 4147 4524 4862 4901 5423 5577 5746 5916 6409 7293 7436 8294 8619 9724 9802 10846 11154 11492 12441 12818 14586 14703 16269 16588 17238 19227 19604 21692 22308 24882 25636 29172 29406 31603 32538 34476 38454 49764 53911 58812 63206 65076 70499 76908 83317 94809 107822 126412 140998 161733 166634 189618 211497 215644 249951 281996 323466 333268 379236 422994 499902 646932 845988 916487 999804 1832974 2749461 3665948 5498922 10997844