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1053423536 = 2411191013119
BaseRepresentation
bin111110110010011…
…111011110110000
32201102012110102112
4332302133132300
54124134023121
6252310304452
735050644434
oct7662373660
92642173375
101053423536
114a06a2770
12254958128
1313a323949
149dc969c4
156273575b
hex3ec9f7b0

1053423536 has 80 divisors (see below), whose sum is σ = 2367705600. Its totient is φ = 448992000.

The previous prime is 1053423533. The next prime is 1053423557. The reversal of 1053423536 is 6353243501.

It is a super-2 number, since 2×10534235362 = 2219402292397486592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053423533) 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 15 ways as a sum of consecutive naturals, for example, 336185 + ... + 339303.

It is an arithmetic number, because the mean of its divisors is an integer number (29596320).

Almost surely, 21053423536 is an apocalyptic number.

1053423536 is a gapful number since it is divisible by the number (16) 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 1053423536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183852800).

1053423536 is an abundant number, since it is smaller than the sum of its proper divisors (1314282064).

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

1053423536 is a wasteful number, since it uses less digits than its factorization.

1053423536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 1053423536 is about 32456.4868092651. The cubic root of 1053423536 is about 1017.4998153928.

The spelling of 1053423536 in words is "one billion, fifty-three million, four hundred twenty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 101 152 176 202 209 304 404 418 808 836 1111 1616 1672 1919 2222 3119 3344 3838 4444 6238 7676 8888 12476 15352 17776 21109 24952 30704 34309 42218 49904 59261 68618 84436 118522 137236 168872 237044 274472 315019 337744 474088 548944 630038 651871 948176 1260076 1303742 2520152 2607484 3465209 5040304 5214968 5985361 6930418 10429936 11970722 13860836 23941444 27721672 47882888 55443344 65838971 95765776 131677942 263355884 526711768 1053423536