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2065097540 = 22511291731871
BaseRepresentation
bin111101100010110…
…1110001101000100
312022220211211021002
41323011232031010
513212131110130
6540530112432
7102114016352
oct17305561504
95286754232
102065097540
1196a76a390
1249771b718
1326baba60c
141583a27d2
15c1470b45
hex7b16e344

2065097540 has 96 divisors (see below), whose sum is σ = 4925007360. Its totient is φ = 720473600.

The previous prime is 2065097537. The next prime is 2065097549. The reversal of 2065097540 is 457905602.

It is a happy number.

2065097540 is digitally balanced in base 6, 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 = 2065097494 and 2065097503.

It is not an unprimeable number, because it can be changed into a prime (2065097549) 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, 1102805 + ... + 1104675.

It is an arithmetic number, because the mean of its divisors is an integer number (51302160).

Almost surely, 22065097540 is an apocalyptic number.

2065097540 is a gapful number since it is divisible by the number (20) 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 2065097540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462503680).

2065097540 is an abundant number, since it is smaller than the sum of its proper divisors (2859909820).

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

2065097540 is a wasteful number, since it uses less digits than its factorization.

2065097540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 2065097540 is about 45443.3442871451. The cubic root of 2065097540 is about 1273.4449918683. Note that the first 3 decimals are identical.

The spelling of 2065097540 in words is "two billion, sixty-five million, ninety-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 173 220 290 319 346 580 638 692 865 1276 1595 1730 1871 1903 3190 3460 3742 3806 5017 6380 7484 7612 9355 9515 10034 18710 19030 20068 20581 25085 37420 38060 41162 50170 54259 55187 82324 100340 102905 108518 110374 205810 217036 220748 271295 275935 323683 411620 542590 551870 596849 647366 1085180 1103740 1193698 1294732 1618415 2387396 2984245 3236830 3560513 5968490 6473660 7121026 9386807 11936980 14242052 17802565 18773614 35605130 37547228 46934035 71210260 93868070 103254877 187736140 206509754 413019508 516274385 1032548770 2065097540