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19928300 = 22527483
BaseRepresentation
bin100110000000…
…1010011101100
31101111110111012
41030001103230
520100201200
61551044352
7331250000
oct114012354
941443435
1019928300
1110281477
1268106b8
1341898c2
14290a700
151b39a35
hex13014ec

19928300 has 90 divisors (see below), whose sum is σ = 51056628. Its totient is φ = 6750240.

The previous prime is 19928297. The next prime is 19928309. The reversal of 19928300 is 382991.

It is not an unprimeable number, because it can be changed into a prime (19928309) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 240059 + ... + 240141.

Almost surely, 219928300 is an apocalyptic number.

19928300 is a gapful number since it is divisible by the number (10) 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 19928300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25528314).

19928300 is an abundant number, since it is smaller than the sum of its proper divisors (31128328).

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

19928300 is an equidigital number, since it uses as much as digits as its factorization.

19928300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 19928300 is about 4464.1124537807. The cubic root of 19928300 is about 271.1170003548.

The spelling of 19928300 in words is "nineteen million, nine hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 83 98 100 140 166 175 196 245 332 343 350 415 490 581 686 700 830 980 1162 1225 1372 1660 1715 2075 2324 2401 2450 2905 3430 4067 4150 4802 4900 5810 6860 8134 8300 8575 9604 11620 12005 14525 16268 17150 20335 24010 28469 29050 34300 40670 48020 56938 58100 60025 81340 101675 113876 120050 142345 199283 203350 240100 284690 398566 406700 569380 711725 797132 996415 1423450 1992830 2846900 3985660 4982075 9964150 19928300