Search a number
-
+
1383961824 = 253271936131
BaseRepresentation
bin101001001111101…
…1001010011100000
310120110011112201100
41102133121103200
510313243234244
6345155034400
746203324060
oct12237312340
93513145640
101383961824
11650235003
1232759ba00
1319095472b
14d1b393a0
1581777b69
hex527d94e0

1383961824 has 144 divisors (see below), whose sum is σ = 4734737280. Its totient is φ = 374595840.

The previous prime is 1383961793. The next prime is 1383961829. The reversal of 1383961824 is 4281693831.

1383961824 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 9 + 618 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1383961824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383961829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20239 + ... + 56369.

It is an arithmetic number, because the mean of its divisors is an integer number (32880120).

Almost surely, 21383961824 is an apocalyptic number.

1383961824 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 1383961824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367368640).

1383961824 is an abundant number, since it is smaller than the sum of its proper divisors (3350775456).

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

1383961824 is a wasteful number, since it uses less digits than its factorization.

1383961824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36173 (or 36162 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1383961824 is about 37201.6373833196. The cubic root of 1383961824 is about 1114.4006844460.

The spelling of 1383961824 in words is "one billion, three hundred eighty-three million, nine hundred sixty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 36131 38304 72262 108393 144524 216786 252917 289048 325179 433572 505834 578096 650358 686489 758751 867144 1011668 1156192 1300716 1372978 1517502 1734288 2023336 2059467 2276253 2601432 2745956 3035004 3468576 4046672 4118934 4552506 4805423 5202864 5491912 6070008 6178401 8093344 8237868 9105012 9610846 10405728 10983824 12140016 12356802 14416269 16475736 18210024 19221692 21967648 24280032 24713604 28832538 32951472 36420048 38443384 43248807 49427208 57665076 65902944 72840096 76886768 86497614 98854416 115330152 153773536 172995228 197708832 230660304 345990456 461320608 691980912 1383961824