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1053249360 = 24354388539
BaseRepresentation
bin111110110001110…
…100111101010000
32201101212121111120
4332301310331100
54124112434420
6252302442240
735046320562
oct7661647520
92641777446
101053249360
114a0593919
12254893380
1313a292597
149dc4d332
15626edd40
hex3ec74f50

1053249360 has 40 divisors (see below), whose sum is σ = 3265073760. Its totient is φ = 280866432.

The previous prime is 1053249343. The next prime is 1053249371. The reversal of 1053249360 is 639423501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10532493602 = 2218668428680819200, 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2194030 + ... + 2194509.

It is an arithmetic number, because the mean of its divisors is an integer number (81626844).

Almost surely, 21053249360 is an apocalyptic number.

1053249360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053249360 is an abundant number, since it is smaller than the sum of its proper divisors (2211824400).

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

1053249360 is a wasteful number, since it uses less digits than its factorization.

1053249360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388555 (or 4388549 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 1053249360 is about 32453.8034750936. The cubic root of 1053249360 is about 1017.4437335446.

The spelling of 1053249360 in words is "one billion, fifty-three million, two hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4388539 8777078 13165617 17554156 21942695 26331234 35108312 43885390 52662468 65828085 70216624 87770780 105324936 131656170 175541560 210649872 263312340 351083120 526624680 1053249360