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19204128 = 253431239
BaseRepresentation
bin100100101000…
…0100000100000
31100010200010000
41021100200200
514404013003
61523340000
7322142466
oct111204040
940120100
1019204128
11a927389
126521600
133c950b8
14279c836
151a451a3
hex1250820

19204128 has 120 divisors (see below), whose sum is σ = 58544640. Its totient is φ = 6168960.

The previous prime is 19204123. The next prime is 19204139. The reversal of 19204128 is 82140291.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19204121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80233 + ... + 80471.

It is an arithmetic number, because the mean of its divisors is an integer number (487872).

Almost surely, 219204128 is an apocalyptic number.

19204128 is a gapful number since it is divisible by the number (18) 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 19204128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29272320).

19204128 is an abundant number, since it is smaller than the sum of its proper divisors (39340512).

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

19204128 is a wasteful number, since it uses less digits than its factorization.

19204128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 19204128 is about 4382.2514761250. The cubic root of 19204128 is about 267.7923690690.

The spelling of 19204128 in words is "nineteen million, two hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 239 248 279 288 324 372 432 478 496 558 648 717 744 837 864 956 992 1116 1296 1434 1488 1674 1912 2151 2232 2511 2592 2868 2976 3348 3824 4302 4464 5022 5736 6453 6696 7409 7648 8604 8928 10044 11472 12906 13392 14818 17208 19359 20088 22227 22944 25812 26784 29636 34416 38718 40176 44454 51624 59272 66681 68832 77436 80352 88908 103248 118544 133362 154872 177816 200043 206496 237088 266724 309744 355632 400086 533448 600129 619488 711264 800172 1066896 1200258 1600344 2133792 2400516 3200688 4801032 6401376 9602064 19204128