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20519928 = 233211131993
BaseRepresentation
bin100111001000…
…1101111111000
31102121112001100
41032101233320
520223114203
62011451400
7336262602
oct116215770
942545040
1020519928
1110645a20
126a56b60
134335c90
142a22172
151c04ea3
hex1391bf8

20519928 has 96 divisors (see below), whose sum is σ = 65323440. Its totient is φ = 5736960.

The previous prime is 20519927. The next prime is 20519951. The reversal of 20519928 is 82991502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20519892 and 20519901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20519921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9300 + ... + 11292.

Almost surely, 220519928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20519928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32661720).

20519928 is an abundant number, since it is smaller than the sum of its proper divisors (44803512).

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

20519928 is a wasteful number, since it uses less digits than its factorization.

20519928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 20519928 is about 4529.8927139613. The cubic root of 20519928 is about 273.7738379191.

The spelling of 20519928 in words is "twenty million, five hundred nineteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 1993 2574 3432 3986 5148 5979 7972 10296 11958 15944 17937 21923 23916 25909 35874 43846 47832 51818 65769 71748 77727 87692 103636 131538 143496 155454 175384 197307 207272 233181 263076 284999 310908 394614 466362 526152 569998 621816 789228 854997 932724 1139996 1578456 1709994 1865448 2279992 2564991 3419988 5129982 6839976 10259964 20519928