Search a number
-
+
2010827896 = 23741131307
BaseRepresentation
bin111011111011010…
…1100110001111000
312012010201122022021
41313312230301320
513104232443041
6531311004224
7100554520000
oct16766546170
95163648267
102010827896
11942072840
12481509674
132607989bc
141510b7000
15bb800cd1
hex77dacc78

2010827896 has 160 divisors (see below), whose sum is σ = 4969198080. Its totient is φ = 755697600.

The previous prime is 2010827869. The next prime is 2010827899. The reversal of 2010827896 is 6987280102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010827899) 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 39 ways as a sum of consecutive naturals, for example, 6549775 + ... + 6550081.

It is an arithmetic number, because the mean of its divisors is an integer number (31057488).

Almost surely, 22010827896 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 2010827896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484599040).

2010827896 is an abundant number, since it is smaller than the sum of its proper divisors (2958370184).

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

2010827896 is a wasteful number, since it uses less digits than its factorization.

2010827896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 2010827896 is about 44842.2556970543. The cubic root of 2010827896 is about 1262.1906746153.

The spelling of 2010827896 in words is "two billion, ten million, eight hundred twenty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 49 56 62 77 88 98 124 154 196 217 248 307 308 341 343 392 434 539 614 616 682 686 868 1078 1228 1364 1372 1519 1736 2149 2156 2387 2401 2456 2728 2744 3038 3377 3773 4298 4312 4774 4802 6076 6754 7546 8596 9517 9548 9604 10633 12152 13508 15043 15092 16709 17192 19034 19096 19208 21266 23639 26411 27016 30086 30184 33418 38068 42532 47278 52822 60172 66619 66836 74431 76136 85064 94556 104687 105301 105644 116963 120344 133238 133672 148862 165473 189112 209374 210602 211288 233926 266476 297724 330946 418748 421204 466333 467852 532952 595448 661892 732809 737107 818741 837496 842408 932666 935704 1158311 1323784 1465618 1474214 1637482 1865332 2316622 2931236 2948428 3264331 3274964 3730664 4633244 5129663 5862472 5896856 6528662 6549928 8108177 9266488 10259326 13057324 16216354 20518652 22850317 26114648 32432708 35907641 41037304 45700634 64865416 71815282 91401268 143630564 182802536 251353487 287261128 502706974 1005413948 2010827896