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1053444100 = 2252174314411
BaseRepresentation
bin111110110010100…
…100100000000100
32201102020111122011
4332302210200010
54124140202400
6252310544004
735051061412
oct7662444004
92642214564
101053444100
114a0707165
12254968004
1313a330107
149dca02b2
156273b8ba
hex3eca4804

1053444100 has 72 divisors (see below), whose sum is σ = 2476903968. Its totient is φ = 387340800.

The previous prime is 1053444089. The next prime is 1053444109. The reversal of 1053444100 is 14443501.

It is a super-2 number, since 2×10534441002 = 2219488943649620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053444109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65895 + ... + 80305.

It is an arithmetic number, because the mean of its divisors is an integer number (34401444).

Almost surely, 21053444100 is an apocalyptic number.

1053444100 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 1053444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238451984).

1053444100 is an abundant number, since it is smaller than the sum of its proper divisors (1423459868).

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

1053444100 is a wasteful number, since it uses less digits than its factorization.

1053444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14485 (or 14478 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1053444100 is about 32456.8036010942. The cubic root of 1053444100 is about 1017.5064362593.

Adding to 1053444100 its reverse (14443501), we get a palindrome (1067887601).

The spelling of 1053444100 in words is "one billion, fifty-three million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 43 50 68 85 86 100 170 172 215 340 425 430 731 850 860 1075 1462 1700 2150 2924 3655 4300 7310 14411 14620 18275 28822 36550 57644 72055 73100 144110 244987 288220 360275 489974 619673 720550 979948 1224935 1239346 1441100 2449870 2478692 3098365 4899740 6124675 6196730 10534441 12249350 12393460 15491825 21068882 24498700 30983650 42137764 52672205 61967300 105344410 210688820 263361025 526722050 1053444100