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1057049686 = 27111923113139
BaseRepresentation
bin111111000000010…
…100110001010110
32201200000200120101
4333000110301112
54131101042221
6252520124314
735123526340
oct7700246126
92650020511
101057049686
114a274a090
1225600669a
1313acc32b4
14a055c290
1562beed91
hex3f014c56

1057049686 has 128 divisors (see below), whose sum is σ = 2206310400. Its totient is φ = 367234560.

The previous prime is 1057049677. The next prime is 1057049689. The reversal of 1057049686 is 6869407501.

It is a super-2 number, since 2×10570496862 = 2234708077345397192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057049689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7604605 + ... + 7604743.

It is an arithmetic number, because the mean of its divisors is an integer number (17236800).

Almost surely, 21057049686 is an apocalyptic number.

1057049686 is an abundant number, since it is smaller than the sum of its proper divisors (1149260714).

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

1057049686 is a wasteful number, since it uses less digits than its factorization.

1057049686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314.

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 1057049686 is about 32512.3005337980. The cubic root of 1057049686 is about 1018.6659755007.

The spelling of 1057049686 in words is "one billion, fifty-seven million, forty-nine thousand, six hundred eighty-six".

Divisors: 1 2 7 11 14 19 22 23 38 46 77 113 133 139 154 161 209 226 253 266 278 322 418 437 506 791 874 973 1243 1463 1529 1582 1771 1946 2147 2486 2599 2641 2926 3058 3059 3197 3542 4294 4807 5198 5282 6118 6394 8701 9614 10703 15029 15707 17402 18193 18487 21406 22379 23617 28589 29051 30058 31414 33649 35167 36386 36974 44758 47234 49381 57178 58102 60743 67298 70334 98762 109949 121486 165319 172777 200123 203357 219898 246169 298433 330638 345554 345667 361261 400246 406714 425201 492338 543191 596866 668173 691334 722522 850402 1086382 1209439 1336346 2089031 2418878 2528827 3282763 3802337 3973871 4178062 4677211 5057654 6565526 6863959 7604674 7947742 9354422 13727918 22979341 27817097 45958682 48047713 55634194 75503549 96095426 151007098 528524843 1057049686