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20369520 = 24325191489
BaseRepresentation
bin100110110110…
…1000001110000
31102022212201200
41031231001300
520203311040
62004331200
7335065233
oct115550160
942285650
1020369520
1110552a16
1269a3b00
1342b2692
1429c341a
151bc5630
hex136d070

20369520 has 120 divisors (see below), whose sum is σ = 72056400. Its totient is φ = 5142528.

The previous prime is 20369509. The next prime is 20369521. The reversal of 20369520 is 2596302.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20369521) 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 23 ways as a sum of consecutive naturals, for example, 12936 + ... + 14424.

It is an arithmetic number, because the mean of its divisors is an integer number (600470).

Almost surely, 220369520 is an apocalyptic number.

20369520 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 20369520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36028200).

20369520 is an abundant number, since it is smaller than the sum of its proper divisors (51686880).

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

20369520 is a wasteful number, since it uses less digits than its factorization.

20369520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 20369520 is about 4513.2604622379. The cubic root of 20369520 is about 273.1032898208.

The spelling of 20369520 in words is "twenty million, three hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1489 1520 1710 2280 2736 2978 3420 4467 4560 5956 6840 7445 8934 11912 13401 13680 14890 17868 22335 23824 26802 28291 29780 35736 44670 53604 56582 59560 67005 71472 84873 89340 107208 113164 119120 134010 141455 169746 178680 214416 226328 254619 268020 282910 339492 357360 424365 452656 509238 536040 565820 678984 848730 1018476 1072080 1131640 1273095 1357968 1697460 2036952 2263280 2546190 3394920 4073904 5092380 6789840 10184760 20369520