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20389920 = 2535107397
BaseRepresentation
bin100110111001…
…0000000100000
31102100220201020
41031302000200
520204434140
62005005440
7335211555
oct115620040
942326636
1020389920
1110567281
1269b3880
1342bba55
1429caa2c
151bcb6d0
hex1372020

20389920 has 96 divisors (see below), whose sum is σ = 64991808. Its totient is φ = 5372928.

The previous prime is 20389913. The next prime is 20389927. The reversal of 20389920 is 2998302.

It is an interprime number because it is at equal distance from previous prime (20389913) and next prime (20389927).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (20389927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51162 + ... + 51558.

It is an arithmetic number, because the mean of its divisors is an integer number (676998).

Almost surely, 220389920 is an apocalyptic number.

20389920 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 20389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32495904).

20389920 is an abundant number, since it is smaller than the sum of its proper divisors (44601888).

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

20389920 is a wasteful number, since it uses less digits than its factorization.

20389920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 20389920 is about 4515.5199036213. The cubic root of 20389920 is about 273.1944300516.

The spelling of 20389920 in words is "twenty million, three hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 397 428 480 535 642 794 856 1070 1191 1284 1588 1605 1712 1985 2140 2382 2568 3176 3210 3424 3970 4280 4764 5136 5955 6352 6420 7940 8560 9528 10272 11910 12704 12840 15880 17120 19056 23820 25680 31760 38112 42479 47640 51360 63520 84958 95280 127437 169916 190560 212395 254874 339832 424790 509748 637185 679664 849580 1019496 1274370 1359328 1699160 2038992 2548740 3398320 4077984 5097480 6796640 10194960 20389920