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1053454320 = 243258831657
BaseRepresentation
bin111110110010100…
…110111111110000
32201102021000122200
4332302212333300
54124141014240
6252311103200
735051133252
oct7662467760
92642230580
101053454320
114a0713906
12254971b00
1313a334969
149dca3cd2
156273e930
hex3eca6ff0

1053454320 has 120 divisors (see below), whose sum is σ = 3543994896. Its totient is φ = 280433664.

The previous prime is 1053454309. The next prime is 1053454321. The reversal of 1053454320 is 234543501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10534543202 = 2219532008653324800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053454321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 634932 + ... + 636588.

Almost surely, 21053454320 is an apocalyptic number.

1053454320 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 1053454320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771997448).

1053454320 is an abundant number, since it is smaller than the sum of its proper divisors (2490540576).

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

1053454320 is a wasteful number, since it uses less digits than its factorization.

1053454320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1053454320 is about 32456.9610407382. The cubic root of 1053454320 is about 1017.5097266988.

Adding to 1053454320 its reverse (234543501), we get a palindrome (1287997821).

The spelling of 1053454320 in words is "one billion, fifty-three million, four hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 883 1657 1766 2649 3314 3532 4415 4971 5298 6628 7064 7947 8285 8830 9942 10596 13245 13256 14128 14913 15894 16570 17660 19884 21192 24855 26490 26512 29826 31788 33140 35320 39735 39768 42384 49710 52980 59652 63576 66280 70640 74565 79470 79536 99420 105960 119304 127152 132560 149130 158940 198840 211920 238608 298260 317880 397680 596520 635760 1193040 1463131 2926262 4389393 5852524 7315655 8778786 11705048 13168179 14631310 17557572 21946965 23410096 26336358 29262620 35115144 43893930 52672716 58525240 65840895 70230288 87787860 105345432 117050480 131681790 175575720 210690864 263363580 351151440 526727160 1053454320