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10878048 = 2532107353
BaseRepresentation
bin101001011111…
…110001100000
3202110122212200
4221133301200
510241044143
61025053200
7161314266
oct51376140
922418780
1010878048
11615a925
123787200
13233b41c
141632436
15e4d1d3
hexa5fc60

10878048 has 72 divisors (see below), whose sum is σ = 31312008. Its totient is φ = 3581952.

The previous prime is 10878031. The next prime is 10878073. The reversal of 10878048 is 84087801.

10878048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30640 + ... + 30992.

It is an arithmetic number, because the mean of its divisors is an integer number (434889).

Almost surely, 210878048 is an apocalyptic number.

10878048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10878048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15656004).

10878048 is an abundant number, since it is smaller than the sum of its proper divisors (20433960).

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

10878048 is a wasteful number, since it uses less digits than its factorization.

10878048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 10878048 is about 3298.1885937587. The cubic root of 10878048 is about 221.5730777461.

The spelling of 10878048 in words is "ten million, eight hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 353 428 642 706 856 963 1059 1284 1412 1712 1926 2118 2568 2824 3177 3424 3852 4236 5136 5648 6354 7704 8472 10272 11296 12708 15408 16944 25416 30816 33888 37771 50832 75542 101664 113313 151084 226626 302168 339939 453252 604336 679878 906504 1208672 1359756 1813008 2719512 3626016 5439024 10878048