Search a number
-
+
1369182920 = 235753257359
BaseRepresentation
bin101000110011100…
…0001001011001000
310112102100200212112
41101213001023020
510301002323140
6343510201452
745633601640
oct12147011310
93472320775
101369182920
11642960436
12322653288
1318a87b911
14cdbad520
1580308c65
hex519c12c8

1369182920 has 128 divisors (see below), whose sum is σ = 3611174400. Its totient is φ = 457506816.

The previous prime is 1369182917. The next prime is 1369182923. The reversal of 1369182920 is 292819631.

1369182920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1369182917) and next prime (1369182923).

It is a super-3 number, since 3×13691829203 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1369182923) 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, 3813701 + ... + 3814059.

It is an arithmetic number, because the mean of its divisors is an integer number (28212300).

Almost surely, 21369182920 is an apocalyptic number.

1369182920 is a gapful number since it is divisible by the number (10) 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 1369182920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805587200).

1369182920 is an abundant number, since it is smaller than the sum of its proper divisors (2241991480).

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

1369182920 is a wasteful number, since it uses less digits than its factorization.

1369182920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 1369182920 is about 37002.4718093265. The cubic root of 1369182920 is about 1110.4196989843.

The spelling of 1369182920 in words is "one billion, three hundred sixty-nine million, one hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 257 265 280 359 371 424 514 530 718 742 1028 1060 1285 1436 1484 1795 1799 1855 2056 2120 2513 2570 2872 2968 3590 3598 3710 5026 5140 7180 7196 7420 8995 10052 10280 12565 13621 14360 14392 14840 17990 19027 20104 25130 27242 35980 38054 50260 54484 68105 71960 76108 92263 95135 95347 100520 108968 133189 136210 152216 184526 190270 190694 266378 272420 369052 380540 381388 461315 476735 532756 544840 645841 665945 738104 761080 762776 922630 953470 1065512 1291682 1331890 1845260 1906940 2583364 2663780 3229205 3690520 3813880 4889939 5166728 5327560 6458410 9779878 12916820 19559756 24449695 25833640 34229573 39119512 48899390 68459146 97798780 136918292 171147865 195597560 273836584 342295730 684591460 1369182920