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1057062168 = 2332612291051
BaseRepresentation
bin111111000000010…
…111110100011000
32201200001022200200
4333000113310120
54131101442133
6252520302200
735123610621
oct7700276430
92650038620
101057062168
114a27584a8
12256011960
1313acc8b96
14a0562a48
1562c03913
hex3f017d18

1057062168 has 96 divisors (see below), whose sum is σ = 2925296400. Its totient is φ = 344736000.

The previous prime is 1057062161. The next prime is 1057062179. The reversal of 1057062168 is 8612607501.

1057062168 is a `hidden beast` number, since 1 + 0 + 570 + 6 + 21 + 68 = 666.

1057062168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10570621682 = 2234760854033720448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057062161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005243 + ... + 1006293.

Almost surely, 21057062168 is an apocalyptic number.

1057062168 is a gapful number since it is divisible by the number (18) 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 1057062168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462648200).

1057062168 is an abundant number, since it is smaller than the sum of its proper divisors (1868234232).

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

1057062168 is a wasteful number, since it uses less digits than its factorization.

1057062168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1057062168 is about 32512.4924913486. The cubic root of 1057062168 is about 1018.6699850689.

Adding to 1057062168 its reverse (8612607501), we get a palindrome (9669669669).

The spelling of 1057062168 in words is "one billion, fifty-seven million, sixty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 229 244 366 458 488 549 687 732 916 1051 1098 1374 1464 1832 2061 2102 2196 2748 3153 4122 4204 4392 5496 6306 8244 8408 9459 12612 13969 16488 18918 25224 27938 37836 41907 55876 64111 75672 83814 111752 125721 128222 167628 192333 240679 251442 256444 335256 384666 481358 502884 512888 576999 722037 769332 962716 1005768 1153998 1444074 1538664 1925432 2166111 2307996 2888148 4332222 4615992 5776296 8664444 14681419 17328888 29362838 44044257 58725676 88088514 117451352 132132771 176177028 264265542 352354056 528531084 1057062168