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19989504 = 21034241
BaseRepresentation
bin100110001000…
…0010000000000
31101121120110000
41030100100000
520104131004
61552240000
7331623303
oct114202000
941546400
1019989504
1110313457
126840000
1341ab712
142924b3a
151b4cc39
hex1310400

19989504 has 110 divisors (see below), whose sum is σ = 59940254. Its totient is φ = 6635520.

The previous prime is 19989503. The next prime is 19989511. The reversal of 19989504 is 40598991.

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 1327104 = 4320^2 + 1152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19989504.

It is not an unprimeable number, because it can be changed into a prime (19989503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82824 + ... + 83064.

Almost surely, 219989504 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 19989504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29970127).

19989504 is an abundant number, since it is smaller than the sum of its proper divisors (39950750).

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

19989504 is an equidigital number, since it uses as much as digits as its factorization.

19989504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 19989504 is about 4470.9623125229. The cubic root of 19989504 is about 271.3942691383.

The spelling of 19989504 in words is "nineteen million, nine hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 241 256 288 324 384 432 482 512 576 648 723 768 864 964 1024 1152 1296 1446 1536 1728 1928 2169 2304 2592 2892 3072 3456 3856 4338 4608 5184 5784 6507 6912 7712 8676 9216 10368 11568 13014 13824 15424 17352 19521 20736 23136 26028 27648 30848 34704 39042 41472 46272 52056 61696 69408 78084 82944 92544 104112 123392 138816 156168 185088 208224 246784 277632 312336 370176 416448 555264 624672 740352 832896 1110528 1249344 1665792 2221056 2498688 3331584 4997376 6663168 9994752 19989504