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1057022160 = 243529151871
BaseRepresentation
bin111111000000001…
…110000011010000
32201122222021210220
4333000032003100
54131044202120
6252515353040
735123353155
oct7700160320
92648867726
101057022160
114a2730437
12255bb2780
1313acb38cc
14a055222c
1562be6b40
hex3f00e0d0

1057022160 has 80 divisors (see below), whose sum is σ = 3389783040. Its totient is φ = 272151040.

The previous prime is 1057022129. The next prime is 1057022171. The reversal of 1057022160 is 612207501.

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

It is a super-2 number, since 2×10570221602 = 2234591693462131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1057022160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68976 + ... + 82895.

It is an arithmetic number, because the mean of its divisors is an integer number (42372288).

Almost surely, 21057022160 is an apocalyptic number.

1057022160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057022160 is an abundant number, since it is smaller than the sum of its proper divisors (2332760880).

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

1057022160 is a wasteful number, since it uses less digits than its factorization.

1057022160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151916 (or 151910 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1057022160 is about 32511.8772143351. The cubic root of 1057022160 is about 1018.6571332663.

Adding to 1057022160 its reverse (612207501), we get a palindrome (1669229661).

The spelling of 1057022160 in words is "one billion, fifty-seven million, twenty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 151871 303742 455613 607484 759355 911226 1214968 1518710 1822452 2278065 2429936 3037420 3644904 4404259 4556130 6074840 7289808 8808518 9112260 12149680 13212777 17617036 18224520 22021295 26425554 35234072 36449040 44042590 52851108 66063885 70468144 88085180 105702216 132127770 176170360 211404432 264255540 352340720 528511080 1057022160