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1053556320 = 25354874507
BaseRepresentation
bin111110110010111…
…111111001100000
32201102110012120110
4332302333321200
54124202300240
6252313211320
735052036525
oct7662777140
92642405513
101053556320
114a0783503
12254a00b40
1313a36c20b
149dccd14c
156275ec80
hex3ecbfe60

1053556320 has 96 divisors (see below), whose sum is σ = 3326254848. Its totient is φ = 280309248.

The previous prime is 1053556253. The next prime is 1053556349. The reversal of 1053556320 is 236553501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10535563202 = 2219961838823884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 231507 + ... + 236013.

It is an arithmetic number, because the mean of its divisors is an integer number (34648488).

Almost surely, 21053556320 is an apocalyptic number.

1053556320 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 1053556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663127424).

1053556320 is an abundant number, since it is smaller than the sum of its proper divisors (2272698528).

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

1053556320 is a wasteful number, since it uses less digits than its factorization.

1053556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 1053556320 is about 32458.5323143238. The cubic root of 1053556320 is about 1017.5425655353.

The spelling of 1053556320 in words is "one billion, fifty-three million, five hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 487 974 1461 1948 2435 2922 3896 4507 4870 5844 7305 7792 9014 9740 11688 13521 14610 15584 18028 19480 22535 23376 27042 29220 36056 38960 45070 46752 54084 58440 67605 72112 77920 90140 108168 116880 135210 144224 180280 216336 233760 270420 360560 432672 540840 721120 1081680 2163360 2194909 4389818 6584727 8779636 10974545 13169454 17559272 21949090 26338908 32923635 35118544 43898180 52677816 65847270 70237088 87796360 105355632 131694540 175592720 210711264 263389080 351185440 526778160 1053556320