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1059893136 = 243227132
BaseRepresentation
bin111111001011001…
…010111110010000
32201212101011001100
4333023022332100
54132313040021
6253101104400
735156641311
oct7713127620
92655334040
101059893136
114a4311445
12256b58100
1313b77a603
14a0a9c608
15630b2626
hex3f2caf90

1059893136 has 45 divisors (see below), whose sum is σ = 2967322449. Its totient is φ = 353167488.

The previous prime is 1059893123. The next prime is 1059893161. The reversal of 1059893136 is 6313989501.

The square root of 1059893136 is 32556.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1045875600 + 14017536 = 32340^2 + 3744^2 .

It is a super-2 number, since 2×10598931362 = 2246746919479828992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1059893091 and 1059893100.

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 8 ways as a sum of consecutive naturals, for example, 389316 + ... + 392028.

Almost surely, 21059893136 is an apocalyptic number.

1059893136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1059893136 is the 32556-th square number.

It is an amenable number.

1059893136 is an abundant number, since it is smaller than the sum of its proper divisors (1907429313).

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

1059893136 is an frugal number, since it uses more digits than its factorization.

1059893136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The cubic root of 1059893136 is about 1019.5785571497.

The spelling of 1059893136 in words is "one billion, fifty-nine million, eight hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2713 5426 8139 10852 16278 21704 24417 32556 43408 48834 65112 97668 130224 195336 390672 7360369 14720738 22081107 29441476 44162214 58882952 66243321 88324428 117765904 132486642 176648856 264973284 353297712 529946568 1059893136