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1057160060 = 225113151263
BaseRepresentation
bin111111000000101…
…111101101111100
32201200020021222022
4333000233231330
54131113110220
6252522335312
735124466205
oct7700575574
92650207868
101057160060
114a2815000
1225605a538
1313b0315c8
14a058a5ac
1562c22925
hex3f02fb7c

1057160060 has 96 divisors (see below), whose sum is σ = 2467390464. Its totient is φ = 380424000.

The previous prime is 1057160059. The next prime is 1057160081. The reversal of 1057160060 is 600617501.

It is a super-2 number, since 2×10571600602 = 2235174784918407200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4019489 + ... + 4019751.

It is an arithmetic number, because the mean of its divisors is an integer number (25701984).

Almost surely, 21057160060 is an apocalyptic number.

1057160060 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 1057160060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233695232).

1057160060 is an abundant number, since it is smaller than the sum of its proper divisors (1410230404).

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

1057160060 is a wasteful number, since it uses less digits than its factorization.

1057160060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 1057160060 is about 32513.9979085932. The cubic root of 1057160060 is about 1018.7014296289.

Adding to 1057160060 its reverse (600617501), we get a palindrome (1657777561).

The spelling of 1057160060 in words is "one billion, fifty-seven million, one hundred sixty thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 151 220 242 263 302 484 526 604 605 755 1052 1210 1315 1331 1510 1661 2420 2630 2662 2893 3020 3322 5260 5324 5786 6644 6655 8305 11572 13310 14465 16610 18271 26620 28930 31823 33220 36542 39713 57860 63646 73084 79426 91355 127292 158852 159115 182710 198565 200981 318230 350053 365420 397130 401962 436843 636460 700106 794260 803924 873686 1004905 1400212 1747372 1750265 2009810 2184215 3500530 4019620 4368430 4805273 7001060 8736860 9610546 19221092 24026365 48052730 52858003 96105460 105716006 211432012 264290015 528580030 1057160060