Search a number
-
+
1053220660 = 225318919087
BaseRepresentation
bin111110110001101…
…101111100110100
32201101211011010121
4332301231330310
54124111030120
6252302101324
735046141112
oct7661557464
92641734117
101053220660
114a05742a8
1225487a844
1313a2824bb
149dc42ab2
15626e55aa
hex3ec6df34

1053220660 has 48 divisors (see below), whose sum is σ = 2308884480. Its totient is φ = 403096320.

The previous prime is 1053220657. The next prime is 1053220709. The reversal of 1053220660 is 660223501.

It is a super-2 number, since 2×10532206602 = 2218547517301671200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45637 + ... + 64723.

It is an arithmetic number, because the mean of its divisors is an integer number (48101760).

Almost surely, 21053220660 is an apocalyptic number.

1053220660 is a gapful number since it is divisible by the number (10) 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 1053220660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154442240).

1053220660 is an abundant number, since it is smaller than the sum of its proper divisors (1255663820).

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

1053220660 is a wasteful number, since it uses less digits than its factorization.

1053220660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19216 (or 19214 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1053220660 is about 32453.3613051098. The cubic root of 1053220660 is about 1017.4344920166.

The spelling of 1053220660 in words is "one billion, fifty-three million, two hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 89 124 155 178 310 356 445 620 890 1780 2759 5518 11036 13795 19087 27590 38174 55180 76348 95435 190870 381740 591697 1183394 1698743 2366788 2958485 3397486 5916970 6794972 8493715 11833940 16987430 33974860 52661033 105322066 210644132 263305165 526610330 1053220660