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19620384 = 253724397
BaseRepresentation
bin100101011011…
…0001000100000
31100220211002220
41022312020200
520010323014
61540311040
7325525200
oct112661040
940824086
1019620384
11100910a3
1266a2480
1340ac6c4
14286a400
151ac86a9
hex12b6220

19620384 has 144 divisors (see below), whose sum is σ = 61937568. Its totient is φ = 5419008.

The previous prime is 19620383. The next prime is 19620389. The reversal of 19620384 is 48302691.

It is not an unprimeable number, because it can be changed into a prime (19620383) 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, 202224 + ... + 202320.

It is an arithmetic number, because the mean of its divisors is an integer number (430122).

Almost surely, 219620384 is an apocalyptic number.

19620384 is a gapful number since it is divisible by the number (14) 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 19620384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30968784).

19620384 is an abundant number, since it is smaller than the sum of its proper divisors (42317184).

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

19620384 is a wasteful number, since it uses less digits than its factorization.

19620384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 19620384 is about 4429.4902641275. The cubic root of 19620384 is about 269.7133858433.

The spelling of 19620384 in words is "nineteen million, six hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 84 86 96 97 98 112 129 147 168 172 194 196 224 258 291 294 301 336 344 388 392 516 582 588 602 672 679 688 776 784 903 1032 1164 1176 1204 1358 1376 1552 1568 1806 2037 2064 2107 2328 2352 2408 2716 3104 3612 4074 4128 4171 4214 4656 4704 4753 4816 5432 6321 7224 8148 8342 8428 9312 9506 9632 10864 12513 12642 14259 14448 16296 16684 16856 19012 21728 25026 25284 28518 28896 29197 32592 33368 33712 38024 50052 50568 57036 58394 65184 66736 67424 76048 87591 100104 101136 114072 116788 133472 152096 175182 200208 202272 204379 228144 233576 350364 400416 408758 456288 467152 613137 700728 817516 934304 1226274 1401456 1635032 2452548 2802912 3270064 4905096 6540128 9810192 19620384