Search a number
-
+
1368739920 = 243520392797
BaseRepresentation
bin101000110010101…
…0101000001010000
310112101112012012010
41101211111001100
510300344134140
6343452502520
745630045252
oct12145250120
93471465163
101368739920
11642688619
1232247aa40
1318a7550a2
14cdad5cd2
158026c880
hex51955050

1368739920 has 80 divisors (see below), whose sum is σ = 4246692480. Its totient is φ = 364687872.

The previous prime is 1368739907. The next prime is 1368739943. The reversal of 1368739920 is 299378631.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1368739920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487962 + ... + 490758.

It is an arithmetic number, because the mean of its divisors is an integer number (53083656).

Almost surely, 21368739920 is an apocalyptic number.

1368739920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1368739920 is an abundant number, since it is smaller than the sum of its proper divisors (2877952560).

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

1368739920 is a wasteful number, since it uses less digits than its factorization.

1368739920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 1368739920 is about 36996.4852384656. The cubic root of 1368739920 is about 1110.2999270673.

The spelling of 1368739920 in words is "one billion, three hundred sixty-eight million, seven hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2039 2797 4078 5594 6117 8156 8391 10195 11188 12234 13985 16312 16782 20390 22376 24468 27970 30585 32624 33564 40780 41955 44752 48936 55940 61170 67128 81560 83910 97872 111880 122340 134256 163120 167820 223760 244680 335640 489360 671280 5703083 11406166 17109249 22812332 28515415 34218498 45624664 57030830 68436996 85546245 91249328 114061660 136873992 171092490 228123320 273747984 342184980 456246640 684369960 1368739920