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1940593116 = 2237112972421
BaseRepresentation
bin111001110101011…
…0001100111011100
312000020120100022010
41303222301213130
512433242434431
6520321351220
766042524610
oct16352614734
95006510263
101940593116
11906461370
12461a98510
1324c077367
14145a33340
15b557a846
hex73ab19dc

1940593116 has 96 divisors (see below), whose sum is σ = 5840110080. Its totient is φ = 486662400.

The previous prime is 1940593097. The next prime is 1940593117. The reversal of 1940593116 is 6113950491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940593117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9415 + ... + 63006.

It is an arithmetic number, because the mean of its divisors is an integer number (60834480).

Almost surely, 21940593116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940593116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920055040).

1940593116 is an abundant number, since it is smaller than the sum of its proper divisors (3899516964).

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

1940593116 is a wasteful number, since it uses less digits than its factorization.

1940593116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72475 (or 72473 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 1940593116 is about 44052.1635791024. The cubic root of 1940593116 is about 1247.3207929960.

The spelling of 1940593116 in words is "one billion, nine hundred forty million, five hundred ninety-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1914 2233 2436 3828 4466 6699 8932 13398 26796 72421 144842 217263 289684 434526 506947 796631 869052 1013894 1520841 1593262 2027788 2100209 2389893 3041682 3186524 4200418 4779786 5576417 6083364 6300627 8400836 9559572 11152834 12601254 14701463 16729251 22305668 23102299 25202508 29402926 33458502 44104389 46204598 58805852 66917004 69306897 88208778 92409196 138613794 161716093 176417556 277227588 323432186 485148279 646864372 970296558 1940593116