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1055831064 = 2331922910111
BaseRepresentation
bin111110111011101…
…011010000011000
32201120201202221020
4332323223100120
54130243043224
6252434042440
735110262451
oct7673532030
92646652836
101055831064
114a1a97562
12255719420
1313a987712
14a0322128
1562a5dc79
hex3eeeb418

1055831064 has 64 divisors (see below), whose sum is σ = 2790912000. Its totient is φ = 331931520.

The previous prime is 1055831059. The next prime is 1055831069. The reversal of 1055831064 is 4601385501.

It is an interprime number because it is at equal distance from previous prime (1055831059) and next prime (1055831069).

It is a super-2 number, since 2×10558310642 = 2229558471414744192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055831069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 99369 + ... + 109479.

It is an arithmetic number, because the mean of its divisors is an integer number (43608000).

Almost surely, 21055831064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055831064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395456000).

1055831064 is an abundant number, since it is smaller than the sum of its proper divisors (1735080936).

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

1055831064 is a wasteful number, since it uses less digits than its factorization.

1055831064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1055831064 is about 32493.5541915624. The cubic root of 1055831064 is about 1018.2743678879.

The spelling of 1055831064 in words is "one billion, fifty-five million, eight hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 229 456 458 687 916 1374 1832 2748 4351 5496 8702 10111 13053 17404 20222 26106 30333 34808 40444 52212 60666 80888 104424 121332 192109 242664 384218 576327 768436 1152654 1536872 2305308 2315419 4610616 4630838 6946257 9261676 13892514 18523352 27785028 43992961 55570056 87985922 131978883 175971844 263957766 351943688 527915532 1055831064