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10998048 = 2531723293
BaseRepresentation
bin101001111101…
…000100100000
3202200202111010
4221331010200
510303414143
61031420520
7162324165
oct51750440
922622433
1010998048
116231aa6
123824740
132380c29
14166406c
15e73a33
hexa7d120

10998048 has 96 divisors (see below), whose sum is σ = 32006016. Its totient is φ = 3289088.

The previous prime is 10998023. The next prime is 10998061. The reversal of 10998048 is 84089901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10997997 and 10998015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37390 + ... + 37682.

It is an arithmetic number, because the mean of its divisors is an integer number (333396).

Almost surely, 210998048 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 10998048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008).

10998048 is an abundant number, since it is smaller than the sum of its proper divisors (21007968).

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

10998048 is a wasteful number, since it uses less digits than its factorization.

10998048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 10998048 is about 3316.3305022268. The cubic root of 10998048 is about 222.3848530995.

The spelling of 10998048 in words is "ten million, nine hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 138 184 204 272 276 293 368 391 408 544 552 586 736 782 816 879 1104 1172 1173 1564 1632 1758 2208 2344 2346 3128 3516 4688 4692 4981 6256 6739 7032 9376 9384 9962 12512 13478 14064 14943 18768 19924 20217 26956 28128 29886 37536 39848 40434 53912 59772 79696 80868 107824 114563 119544 159392 161736 215648 229126 239088 323472 343689 458252 478176 646944 687378 916504 1374756 1833008 2749512 3666016 5499024 10998048