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140055993 = 337112329101
BaseRepresentation
bin10000101100100…
…01010110111001
3100202112120201000
420112101112321
5241323242433
621521515213
73320312340
oct1026212671
9322476630
10140055993
1172070160
123aaa2b09
132302998c
141485ab57
15c468113
hex85915b9

140055993 has 128 divisors (see below), whose sum is σ = 282009600. Its totient is φ = 66528000.

The previous prime is 140055991. The next prime is 140055997. The reversal of 140055993 is 399550041.

140055993 is a `hidden beast` number, since 14 + 0 + 0 + 559 + 93 = 666.

It is not a de Polignac number, because 140055993 - 21 = 140055991 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (140055991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1386643 + ... + 1386743.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 2140055993 is an apocalyptic number.

It is an amenable number.

140055993 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

140055993 is a wasteful number, since it uses less digits than its factorization.

140055993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 140055993 is about 11834.5254657717. The cubic root of 140055993 is about 519.3186255589.

The spelling of 140055993 in words is "one hundred forty million, fifty-five thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 11 21 23 27 29 33 63 69 77 87 99 101 161 189 203 207 231 253 261 297 303 319 483 609 621 667 693 707 759 783 909 957 1111 1449 1771 1827 2001 2079 2121 2233 2277 2323 2727 2871 2929 3333 4347 4669 5313 5481 6003 6363 6699 6831 6969 7337 7777 8613 8787 9999 14007 15939 16261 18009 19089 20097 20503 20907 22011 23331 25553 26361 29997 32219 42021 47817 48783 51359 60291 61509 62721 66033 67367 69993 76659 79083 96657 126063 146349 154077 178871 184527 198099 202101 209979 225533 229977 289971 439047 462231 471569 536613 553581 606303 676599 689931 741037 869913 1386693 1414707 1609839 1818909 2029797 2223111 4244121 4829517 5187259 6089391 6669333 12732363 15561777 20007999 46685331 140055993