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1053455120 = 24537479743
BaseRepresentation
bin111110110010100…
…111001100010000
32201102021001202022
4332302213030100
54124141030440
6252311111012
735051135504
oct7662471420
92642231668
101053455120
114a0714473
12254972468
1313a335133
149dca4304
156273ecb5
hex3eca7310

1053455120 has 80 divisors (see below), whose sum is σ = 2524124160. Its totient is φ = 408586752.

The previous prime is 1053455101. The next prime is 1053455141. The reversal of 1053455120 is 215543501.

1053455120 is digitally balanced in base 2, because in such base 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 (80).

It is a super-2 number, since 2×10534551202 = 2219535379708428800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053455120.

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, 1417469 + ... + 1418211.

It is an arithmetic number, because the mean of its divisors is an integer number (31551552).

Almost surely, 21053455120 is an apocalyptic number.

1053455120 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 1053455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262062080).

1053455120 is an abundant number, since it is smaller than the sum of its proper divisors (1470669040).

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

1053455120 is a wasteful number, since it uses less digits than its factorization.

1053455120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 1053455120 is about 32456.9733647486. The cubic root of 1053455120 is about 1017.5099842666.

Adding to 1053455120 its reverse (215543501), we get a palindrome (1268998621).

The spelling of 1053455120 in words is "one billion, fifty-three million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 479 592 740 743 958 1480 1486 1916 2395 2960 2972 3715 3832 4790 5944 7430 7664 9580 11888 14860 17723 19160 27491 29720 35446 38320 54982 59440 70892 88615 109964 137455 141784 177230 219928 274910 283568 354460 355897 439856 549820 708920 711794 1099640 1417840 1423588 1779485 2199280 2847176 3558970 5694352 7117940 13168189 14235880 26336378 28471760 52672756 65840945 105345512 131681890 210691024 263363780 526727560 1053455120