Search a number
-
+
1984636830 = 2351119615189
BaseRepresentation
bin111011001001011…
…0010011110011110
312010022102222220210
41312102302132132
513031031334310
6524533353250
7100116064131
oct16622623636
95108388823
101984636830
11929304030
12474798826
13258228627
1414b81a218
15b937a820
hex764b279e

1984636830 has 128 divisors (see below), whose sum is σ = 5560358400. Its totient is φ = 448243200.

The previous prime is 1984636807. The next prime is 1984636847. The reversal of 1984636830 is 386364891.

It is a self number, because there is not a number n which added to its sum of digits gives 1984636830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379876 + ... + 385064.

It is an arithmetic number, because the mean of its divisors is an integer number (43440300).

Almost surely, 21984636830 is an apocalyptic number.

1984636830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984636830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780179200).

1984636830 is an abundant number, since it is smaller than the sum of its proper divisors (3575721570).

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

1984636830 is a wasteful number, since it uses less digits than its factorization.

1984636830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5290.

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 1984636830 is about 44549.2629568661. The cubic root of 1984636830 is about 1256.6866904884.

The spelling of 1984636830 in words is "one billion, nine hundred eighty-four million, six hundred thirty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 61 66 95 110 114 122 165 183 190 209 285 305 330 366 418 570 610 627 671 915 1045 1159 1254 1342 1830 2013 2090 2318 3135 3355 3477 4026 5189 5795 6270 6710 6954 10065 10378 11590 12749 15567 17385 20130 25498 25945 31134 34770 38247 51890 57079 63745 76494 77835 98591 114158 127490 155670 171237 191235 197182 285395 295773 316529 342474 382470 492955 570790 591546 633058 856185 949587 985910 1084501 1478865 1582645 1712370 1899174 2169002 2957730 3165290 3253503 3481819 4747935 5422505 6014051 6507006 6963638 9495870 10445457 10845010 12028102 16267515 17409095 18042153 20890914 30070255 32535030 34818190 36084306 52227285 60140510 66154561 90210765 104454570 132309122 180421530 198463683 330772805 396927366 661545610 992318415 1984636830