Search a number
-
+
1993269124 = 22711311911093
BaseRepresentation
bin111011011001110…
…1101111110000100
312010220200120012101
41312303231332010
513040234102444
6525442401444
7100252336150
oct16663557604
95126616171
101993269124
1193316a660
12477660284
13259c5b7b2
1414ca26060
15b9ed33d4
hex76cedf84

1993269124 has 96 divisors (see below), whose sum is σ = 4516872192. Its totient is φ = 746928000.

The previous prime is 1993269121. The next prime is 1993269137. The reversal of 1993269124 is 4219623991.

It is not an unprimeable number, because it can be changed into a prime (1993269121) by changing a digit.

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, 1823122 + ... + 1824214.

It is an arithmetic number, because the mean of its divisors is an integer number (47050752).

Almost surely, 21993269124 is an apocalyptic number.

1993269124 is a gapful number since it is divisible by the number (14) 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 1993269124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258436096).

1993269124 is an abundant number, since it is smaller than the sum of its proper divisors (2523603068).

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

1993269124 is a wasteful number, since it uses less digits than its factorization.

1993269124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1335 counting only the distinct ones).

The product of its digits is 209952, while the sum is 46.

The square root of 1993269124 is about 44646.0426465773. The cubic root of 1993269124 is about 1258.5060659661.

The spelling of 1993269124 in words is "one billion, nine hundred ninety-three million, two hundred sixty-nine thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 191 217 308 341 382 434 682 764 868 1093 1337 1364 2101 2186 2387 2674 4202 4372 4774 5348 5921 7651 8404 9548 11842 12023 14707 15302 23684 24046 29414 30604 33883 41447 48092 58828 65131 67766 82894 84161 130262 135532 165788 168322 208763 237181 260524 336644 372713 417526 455917 474362 745426 835052 911834 948724 1461341 1490852 1823668 2296393 2608991 2922682 4592786 5217982 5845364 6471653 9185572 10435964 12943306 16074751 25886612 32149502 45301571 64299004 71188183 90603142 142376366 181206284 284752732 498317281 996634562 1993269124