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19921128 = 23323151239
BaseRepresentation
bin100101111111…
…1100011101000
31101111002122120
41023333203220
520044434003
61550551240
7331220043
oct113774350
941432576
1019921128
1110277047
126808520
134186566
142907c5a
151b37853
hex12ff8e8

19921128 has 64 divisors (see below), whose sum is σ = 52531200. Its totient is φ = 6283200.

The previous prime is 19921067. The next prime is 19921129. The reversal of 19921128 is 82112991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19921129) 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, 83233 + ... + 83471.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 219921128 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 19921128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26265600).

19921128 is an abundant number, since it is smaller than the sum of its proper divisors (32610072).

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

19921128 is a wasteful number, since it uses less digits than its factorization.

19921128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its digits is 2592, while the sum is 33.

The square root of 19921128 is about 4463.3090863170. The cubic root of 19921128 is about 271.0844723346.

The spelling of 19921128 in words is "nineteen million, nine hundred twenty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 151 184 239 276 302 453 478 552 604 717 906 956 1208 1434 1812 1912 2868 3473 3624 5497 5736 6946 10419 10994 13892 16491 20838 21988 27784 32982 36089 41676 43976 65964 72178 83352 108267 131928 144356 216534 288712 433068 830047 866136 1660094 2490141 3320188 4980282 6640376 9960564 19921128