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20213928 = 2333729461
BaseRepresentation
bin100110100011…
…1000010101000
31102000222022000
41031013002220
520133321203
62001131000
7333546510
oct115070250
942028260
1020213928
1110457029
126929a60
134259907
142982840
151b944a3
hex13470a8

20213928 has 128 divisors (see below), whose sum is σ = 66528000. Its totient is φ = 5564160.

The previous prime is 20213923. The next prime is 20213959. The reversal of 20213928 is 82931202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20213923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43618 + ... + 44078.

It is an arithmetic number, because the mean of its divisors is an integer number (519750).

Almost surely, 220213928 is an apocalyptic number.

20213928 is a gapful number since it is divisible by the number (28) 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 20213928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264000).

20213928 is an abundant number, since it is smaller than the sum of its proper divisors (46314072).

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

20213928 is a wasteful number, since it uses less digits than its factorization.

20213928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20213928 is about 4495.9902135125. The cubic root of 20213928 is about 272.4061478556.

The spelling of 20213928 in words is "twenty million, two hundred thirteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 461 504 522 609 696 756 783 812 922 1044 1218 1383 1512 1566 1624 1827 1844 2088 2436 2766 3132 3227 3654 3688 4149 4872 5481 5532 6264 6454 7308 8298 9681 10962 11064 12447 12908 13369 14616 16596 19362 21924 24894 25816 26738 29043 33192 38724 40107 43848 49788 53476 58086 77448 80214 87129 93583 99576 106952 116172 120321 160428 174258 187166 232344 240642 280749 320856 348516 360963 374332 481284 561498 697032 721926 748664 842247 962568 1122996 1443852 1684494 2245992 2526741 2887704 3368988 5053482 6737976 10106964 20213928