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1058213140 = 225519710181
BaseRepresentation
bin111111000100110…
…000110100010100
32201202012210112021
4333010300310110
54131400310030
6253001102524
735136443335
oct7704606424
92652183467
101058213140
114a3374216
12256487a44
1313b30ca2a
14a078228c
1562d7e97a
hex3f130d14

1058213140 has 24 divisors (see below), whose sum is σ = 2222893512. Its totient is φ = 423162240.

The previous prime is 1058213099. The next prime is 1058213207. The reversal of 1058213140 is 413128501.

It can be written as a sum of positive squares in 4 ways, for example, as 124055044 + 934158096 = 11138^2 + 30564^2 .

It is a super-2 number, since 2×10582131402 = 2239630099337319200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98850 + ... + 109030.

It is an arithmetic number, because the mean of its divisors is an integer number (92620563).

Almost surely, 21058213140 is an apocalyptic number.

1058213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1058213140 is an abundant number, since it is smaller than the sum of its proper divisors (1164680372).

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

1058213140 is a wasteful number, since it uses less digits than its factorization.

1058213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15387 (or 15385 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1058213140 is about 32530.1881334861. The cubic root of 1058213140 is about 1019.0395739736.

The spelling of 1058213140 in words is "one billion, fifty-eight million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 5197 10181 10394 20362 20788 25985 40724 50905 51970 101810 103940 203620 52910657 105821314 211642628 264553285 529106570 1058213140