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1054516672 = 261110713999
BaseRepresentation
bin111110110110101…
…010010111000000
32201111020222221001
4332312222113000
54124424013142
6252345541344
735063146426
oct7666522700
92644228831
101054516672
114a1279a90
122551a4854
1313a617381
14a009d116
156289e5b7
hex3edaa5c0

1054516672 has 56 divisors (see below), whose sum is σ = 2304288000. Its totient is φ = 474812160.

The previous prime is 1054516651. The next prime is 1054516703. The reversal of 1054516672 is 2766154501.

It is a happy number.

It is a super-2 number, since 2×10545166722 = 2224010823051911168, which contains 22 as substring.

It is a congruent number.

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, 68329 + ... + 82327.

It is an arithmetic number, because the mean of its divisors is an integer number (41148000).

Almost surely, 21054516672 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 1054516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152144000).

1054516672 is an abundant number, since it is smaller than the sum of its proper divisors (1249771328).

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

1054516672 is a wasteful number, since it uses less digits than its factorization.

1054516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14129 (or 14119 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 1054516672 is about 32473.3224662953. The cubic root of 1054516672 is about 1017.8516463926.

The spelling of 1054516672 in words is "one billion, fifty-four million, five hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 176 214 352 428 704 856 1177 1712 2354 3424 4708 6848 9416 13999 18832 27998 37664 55996 75328 111992 153989 223984 307978 447968 615956 895936 1231912 1497893 2463824 2995786 4927648 5991572 9855296 11983144 16476823 23966288 32953646 47932576 65907292 95865152 131814584 263629168 527258336 1054516672