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1053955864 = 231323499883
BaseRepresentation
bin111110110100100…
…001011100011000
32201110012111122101
4332310201130120
54124303041424
6252325533144
735055322423
oct7664413430
92643174571
101053955864
114a0a26705
12254b741b4
1313a47c030
149dd949ba
15627dd344
hex3ed21718

1053955864 has 64 divisors (see below), whose sum is σ = 2227680000. Its totient is φ = 463833216.

The previous prime is 1053955853. The next prime is 1053955873. The reversal of 1053955864 is 4685593501.

1053955864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10539558642 = 2221645926519972992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193167 + ... + 1194049.

It is an arithmetic number, because the mean of its divisors is an integer number (34807500).

Almost surely, 21053955864 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 1053955864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840000).

1053955864 is an abundant number, since it is smaller than the sum of its proper divisors (1173724136).

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

1053955864 is a wasteful number, since it uses less digits than its factorization.

1053955864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The square root of 1053955864 is about 32464.6864146260. The cubic root of 1053955864 is about 1017.6711780696.

The spelling of 1053955864 in words is "one billion, fifty-three million, nine hundred fifty-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 499 598 883 998 1196 1766 1996 2392 3532 3992 6487 7064 11477 11479 12974 20309 22954 22958 25948 40618 45908 45916 51896 81236 91816 91832 149201 162472 264017 298402 440617 528034 596804 881234 1056068 1193608 1762468 2112136 3524936 5728021 10134191 11456042 20268382 22912084 40536764 45824168 81073528 131744483 263488966 526977932 1053955864