Search a number
-
+
2096059728 = 243741712143
BaseRepresentation
bin111110011101111…
…0101010101010000
312102002002212101210
41330323311111100
513243042402403
6543553500120
7102641133210
oct17473652520
95362085353
102096059728
11986197774
124a5b71640
1327533b539
1415c542240
15c4039b03
hex7cef5550

2096059728 has 160 divisors (see below), whose sum is σ = 6431588352. Its totient is φ = 575769600.

The previous prime is 2096059723. The next prime is 2096059729. The reversal of 2096059728 is 8279506902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2096059723) 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, 977025 + ... + 979167.

Almost surely, 22096059728 is an apocalyptic number.

2096059728 is a gapful number since it is divisible by the number (28) 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 2096059728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215794176).

2096059728 is an abundant number, since it is smaller than the sum of its proper divisors (4335528624).

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

2096059728 is a wasteful number, since it uses less digits than its factorization.

2096059728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 2096059728 is about 45782.7448718401. The cubic root of 2096059728 is about 1279.7777381009. Note that the first 4 decimals are identical.

The spelling of 2096059728 in words is "two billion, ninety-six million, fifty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 71 82 84 112 123 142 164 168 213 246 284 287 328 336 426 492 497 568 574 656 852 861 984 994 1136 1148 1491 1704 1722 1968 1988 2143 2296 2911 2982 3408 3444 3976 4286 4592 5822 5964 6429 6888 7952 8572 8733 11644 11928 12858 13776 15001 17144 17466 20377 23288 23856 25716 30002 34288 34932 40754 45003 46576 51432 60004 61131 69864 81508 87863 90006 102864 120008 122262 139728 152153 163016 175726 180012 240016 244524 263589 304306 326032 351452 360024 456459 489048 527178 608612 615041 702904 720048 912918 978096 1054356 1065071 1217224 1230082 1405808 1825836 1845123 2108712 2130142 2434448 2460164 3195213 3651672 3690246 4217424 4260284 4920328 6238273 6390426 7303344 7380492 8520568 9840656 12476546 12780852 14760984 17041136 18714819 24953092 25561704 29521968 37429638 43667911 49906184 51123408 74859276 87335822 99812368 131003733 149718552 174671644 262007466 299437104 349343288 524014932 698686576 1048029864 2096059728