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1058861056 = 2121171331
BaseRepresentation
bin111111000111001…
…111000000000000
32201210102201022011
4333013033000000
54132032023211
6253023022304
735145112321
oct7707170000
92653381264
101058861056
114a3776a90
1225673a994
1313b4a8906
14a08b0448
1562e5b921
hex3f1cf000

1058861056 has 104 divisors (see below), whose sum is σ = 2349571968. Its totient is φ = 473088000.

The previous prime is 1058861053. The next prime is 1058861057. The reversal of 1058861056 is 6501688501.

It is a super-2 number, since 2×10588610562 = 2242373471826870272, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058861053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3198811 + ... + 3199141.

Almost surely, 21058861056 is an apocalyptic number.

1058861056 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 1058861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174785984).

1058861056 is an abundant number, since it is smaller than the sum of its proper divisors (1290710912).

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

1058861056 is an equidigital number, since it uses as much as digits as its factorization.

1058861056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 1058861056 is about 32540.1452977703. The cubic root of 1058861056 is about 1019.2475085613.

The spelling of 1058861056 in words is "one billion, fifty-eight million, eight hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 256 284 331 352 512 568 662 704 781 1024 1136 1324 1408 1562 2048 2272 2648 2816 3124 3641 4096 4544 5296 5632 6248 7282 9088 10592 11264 12496 14564 18176 21184 22528 23501 24992 29128 36352 42368 45056 47002 49984 58256 72704 84736 94004 99968 116512 145408 169472 188008 199936 233024 258511 290816 338944 376016 399872 466048 517022 677888 752032 799744 932096 1034044 1355776 1504064 1599488 1864192 2068088 3008128 3198976 3728384 4136176 6016256 7456768 8272352 12032512 14913536 16544704 24065024 33089408 48130048 66178816 96260096 132357632 264715264 529430528 1058861056