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1055632016 = 24295034523
BaseRepresentation
bin111110111010111…
…010101010010000
32201120100122220002
4332322322222100
54130220211031
6252425505132
735105503235
oct7672725220
92646318802
101055632016
114a1970a5a
122556421a8
1313a917c3a
14a02ad78c
1562a1eccb
hex3eebaa90

1055632016 has 40 divisors (see below), whose sum is σ = 2120489280. Its totient is φ = 508489856.

The previous prime is 1055632009. The next prime is 1055632033. The reversal of 1055632016 is 6102365501.

It is a super-2 number, since 2×10556320162 = 2228717906408448512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 1055632016.

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, 231131 + ... + 235653.

It is an arithmetic number, because the mean of its divisors is an integer number (53012232).

Almost surely, 21055632016 is an apocalyptic number.

1055632016 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 1055632016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060244640).

1055632016 is an abundant number, since it is smaller than the sum of its proper divisors (1064857264).

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

1055632016 is a wasteful number, since it uses less digits than its factorization.

1055632016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 1055632016 is about 32490.4911628002. The cubic root of 1055632016 is about 1018.2103746281.

Adding to 1055632016 its reverse (6102365501), we get a palindrome (7157997517).

The spelling of 1055632016 in words is "one billion, fifty-five million, six hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 503 1006 2012 4024 4523 8048 9046 14587 18092 29174 36184 58348 72368 116696 131167 233392 262334 524668 1049336 2098672 2275069 4550138 9100276 18200552 36401104 65977001 131954002 263908004 527816008 1055632016