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1058863440 = 243510741233
BaseRepresentation
bin111111000111001…
…111100101010000
32201210102211120110
4333013033211100
54132032112230
6253023041320
735145122265
oct7707174520
92653384513
101058863440
114a3778858
12256740240
1313b4a9a1b
14a08b126c
1562e5c4b0
hex3f1cf950

1058863440 has 80 divisors (see below), whose sum is σ = 3313234368. Its totient is φ = 279717888.

The previous prime is 1058863361. The next prime is 1058863441. The reversal of 1058863440 is 443688501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10588634402 = 2242383569137267200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058863441) 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, 5064 + ... + 46296.

Almost surely, 21058863440 is an apocalyptic number.

1058863440 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 1058863440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656617184).

1058863440 is an abundant number, since it is smaller than the sum of its proper divisors (2254370928).

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

1058863440 is a wasteful number, since it uses less digits than its factorization.

1058863440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41356 (or 41350 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1058863440 is about 32540.1819294238. The cubic root of 1058863440 is about 1019.2482734977.

The spelling of 1058863440 in words is "one billion, fifty-eight million, eight hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1712 2140 2568 3210 4280 5136 6420 8560 12840 25680 41233 82466 123699 164932 206165 247398 329864 412330 494796 618495 659728 824660 989592 1236990 1649320 1979184 2473980 3298640 4411931 4947960 8823862 9895920 13235793 17647724 22059655 26471586 35295448 44119310 52943172 66178965 70590896 88238620 105886344 132357930 176477240 211772688 264715860 352954480 529431720 1058863440