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10768048 = 2423291009
BaseRepresentation
bin101001000100…
…111010110000
3202021001222121
4221010322300
510224034143
61022444024
7160345504
oct51047260
922231877
1010768048
116095215
123733614
132300335
141604304
15e2a7ed
hexa44eb0

10768048 has 40 divisors (see below), whose sum is σ = 22543200. Its totient is φ = 4967424.

The previous prime is 10768027. The next prime is 10768091. The reversal of 10768048 is 84086701.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10168 + ... + 11176.

It is an arithmetic number, because the mean of its divisors is an integer number (563580).

Almost surely, 210768048 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 10768048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11271600).

10768048 is an abundant number, since it is smaller than the sum of its proper divisors (11775152).

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

10768048 is a wasteful number, since it uses less digits than its factorization.

10768048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 10768048 is about 3281.4704021216. The cubic root of 10768048 is about 220.8236890848.

The spelling of 10768048 in words is "ten million, seven hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 1009 1334 2018 2668 4036 5336 8072 10672 16144 23207 29261 46414 58522 92828 117044 185656 234088 371312 468176 673003 1346006 2692012 5384024 10768048