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20391360 = 2635111931
BaseRepresentation
bin100110111001…
…0010111000000
31102100222200120
41031302113000
520210010420
62005020240
7335216013
oct115622700
942328616
1020391360
1110568370
1269b4680
1342bc5c2
1429cb37a
151bcbd40
hex13725c0

20391360 has 112 divisors (see below), whose sum is σ = 70664832. Its totient is φ = 4940800.

The previous prime is 20391353. The next prime is 20391361. The reversal of 20391360 is 6319302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20391360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20391361) by changing a digit.

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, 9595 + ... + 11525.

It is an arithmetic number, because the mean of its divisors is an integer number (630936).

Almost surely, 220391360 is an apocalyptic number.

20391360 is a gapful number since it is divisible by the number (20) 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 20391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35332416).

20391360 is an abundant number, since it is smaller than the sum of its proper divisors (50273472).

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

20391360 is a wasteful number, since it uses less digits than its factorization.

20391360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 20391360 is about 4515.6793508840. The cubic root of 20391360 is about 273.2008611823.

The spelling of 20391360 in words is "twenty million, three hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 1931 2112 2640 3520 3862 5280 5793 7724 9655 10560 11586 15448 19310 21241 23172 28965 30896 38620 42482 46344 57930 61792 63723 77240 84964 92688 106205 115860 123584 127446 154480 169928 185376 212410 231720 254892 308960 318615 339856 370752 424820 463440 509784 617920 637230 679712 849640 926880 1019568 1274460 1359424 1699280 1853760 2039136 2548920 3398560 4078272 5097840 6797120 10195680 20391360