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1936590138 = 2327372103109
BaseRepresentation
bin111001101101110…
…0000010100111010
311222222000222020200
41303123200110322
512431231341023
6520055503030
765663513250
oct16333402472
94888028220
101936590138
1190417791a
12460687a76
1324b2a5332
141452b05d0
15b5039743
hex736e053a

1936590138 has 144 divisors (see below), whose sum is σ = 5021976960. Its totient is φ = 528239232.

The previous prime is 1936590137. The next prime is 1936590167. The reversal of 1936590138 is 8310956391.

1936590138 is a `hidden beast` number, since 19 + 36 + 590 + 13 + 8 = 666.

1936590138 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1936590093 and 1936590102.

It is not an unprimeable number, because it can be changed into a prime (1936590137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17766828 + ... + 17766936.

It is an arithmetic number, because the mean of its divisors is an integer number (34874840).

Almost surely, 21936590138 is an apocalyptic number.

1936590138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1936590138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510988480).

1936590138 is an abundant number, since it is smaller than the sum of its proper divisors (3085386822).

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

1936590138 is a wasteful number, since it uses less digits than its factorization.

1936590138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1936590138 is about 44006.7056026692. The cubic root of 1936590138 is about 1246.4625614394.

The spelling of 1936590138 in words is "one billion, nine hundred thirty-six million, five hundred ninety thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 103 109 111 126 206 218 222 259 309 327 333 518 618 654 666 721 763 777 927 981 1369 1442 1526 1554 1854 1962 2163 2289 2331 2738 3811 4033 4107 4326 4578 4662 6489 6867 7622 8066 8214 9583 11227 11433 12099 12321 12978 13734 19166 22454 22866 24198 24642 26677 28231 28749 33681 34299 36297 53354 56462 57498 67362 68598 72594 78589 80031 84693 86247 101043 141007 149221 157178 160062 169386 172494 202086 235767 240093 254079 282014 298442 415399 423021 447663 471534 480186 508158 707301 830798 846042 895326 987049 1044547 1246197 1269063 1342989 1414602 1974098 2089094 2492394 2538126 2685978 2907793 2961147 3133641 3738591 5815586 5922294 6267282 7477182 8723379 8883441 9400923 15369763 17446758 17766882 18801846 26170137 30739526 46109289 52340274 92218578 107588341 138327867 215176682 276655734 322765023 645530046 968295069 1936590138