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10948168 = 2372112539
BaseRepresentation
bin101001110000…
…111001001000
3202121020001201
4221300321020
510300320133
61030353544
7162025600
oct51607110
922536051
1010948168
1161a8580
1237bb8b4
13236430a
14164dc00
15e63d7d
hexa70e48

10948168 has 48 divisors (see below), whose sum is σ = 26060400. Its totient is φ = 4263840.

The previous prime is 10948163. The next prime is 10948193. The reversal of 10948168 is 86184901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10948163) 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, 3043 + ... + 5581.

It is an arithmetic number, because the mean of its divisors is an integer number (542925).

Almost surely, 210948168 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 10948168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030200).

10948168 is an abundant number, since it is smaller than the sum of its proper divisors (15112232).

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

10948168 is a wasteful number, since it uses less digits than its factorization.

10948168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 10948168 is about 3308.8015957443. The cubic root of 10948168 is about 222.0481458221.

The spelling of 10948168 in words is "ten million, nine hundred forty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 2539 4312 5078 10156 17773 20312 27929 35546 55858 71092 111716 124411 142184 195503 223432 248822 391006 497644 782012 995288 1368521 1564024 2737042 5474084 10948168