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19990476 = 2234117179
BaseRepresentation
bin100110001000…
…0011111001100
31101121121210000
41030100133030
520104143401
61552244300
7331626162
oct114203714
941547700
1019990476
1110314160
126840690
1341abcac
142925232
151b4d186
hex13107cc

19990476 has 120 divisors (see below), whose sum is σ = 58544640. Its totient is φ = 5896800.

The previous prime is 19990459. The next prime is 19990499. The reversal of 19990476 is 67409991.

19990476 is a `hidden beast` number, since 1 + 99 + 90 + 476 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 253005 + ... + 253083.

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

Almost surely, 219990476 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 19990476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29272320).

19990476 is an abundant number, since it is smaller than the sum of its proper divisors (38554164).

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

19990476 is a wasteful number, since it uses less digits than its factorization.

19990476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 19990476 is about 4471.0710126322. The cubic root of 19990476 is about 271.3986679627.

The spelling of 19990476 in words is "nineteen million, nine hundred ninety thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 71 79 81 99 108 132 142 158 162 198 213 237 284 297 316 324 396 426 474 594 639 711 781 852 869 891 948 1188 1278 1422 1562 1738 1782 1917 2133 2343 2556 2607 2844 3124 3476 3564 3834 4266 4686 5214 5609 5751 6399 7029 7668 7821 8532 9372 10428 11218 11502 12798 14058 15642 16827 21087 22436 23004 23463 25596 28116 31284 33654 42174 46926 50481 61699 63261 67308 70389 84348 93852 100962 123398 126522 140778 151443 185097 201924 246796 253044 281556 302886 370194 454329 555291 605772 740388 908658 1110582 1665873 1817316 2221164 3331746 4997619 6663492 9995238 19990476