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10998948 = 2231922539
BaseRepresentation
bin101001111101…
…010010100100
3202200210201110
4221331102210
510303431243
61031425020
7162326622
oct51752244
922623643
1010998948
116232744
123825170
13238146c
141664512
15e73e33
hexa7d4a4

10998948 has 36 divisors (see below), whose sum is σ = 27096720. Its totient is φ = 3471984.

The previous prime is 10998943. The next prime is 10998973. The reversal of 10998948 is 84989901.

10998948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10998897 and 10998906.

It is not an unprimeable number, because it can be changed into a prime (10998943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3063 + ... + 5601.

Almost surely, 210998948 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 10998948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13548360).

10998948 is an abundant number, since it is smaller than the sum of its proper divisors (16097772).

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

10998948 is a wasteful number, since it uses less digits than its factorization.

10998948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 10998948 is about 3316.4661915961. The cubic root of 10998948 is about 222.3909190520.

The spelling of 10998948 in words is "ten million, nine hundred ninety-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 2539 4332 5078 7617 10156 15234 30468 48241 96482 144723 192964 289446 578892 916579 1833158 2749737 3666316 5499474 10998948