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19916480 = 265109571
BaseRepresentation
bin100101111111…
…0011011000000
31101110212021102
41023332123000
520044311410
61550513532
7331200353
oct113763300
941425242
1019916480
1110273601
1268058a8
1341843cc
14290629a
151b362a5
hex12fe6c0

19916480 has 56 divisors (see below), whose sum is σ = 47945040. Its totient is φ = 7879680.

The previous prime is 19916461. The next prime is 19916483. The reversal of 19916480 is 8461991.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (19916483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34595 + ... + 35165.

Almost surely, 219916480 is an apocalyptic number.

19916480 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 19916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23972520).

19916480 is an abundant number, since it is smaller than the sum of its proper divisors (28028560).

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

19916480 is a wasteful number, since it uses less digits than its factorization.

19916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 19916480 is about 4462.7883660331. The cubic root of 19916480 is about 271.0633875407.

The spelling of 19916480 in words is "nineteen million, nine hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 571 872 1090 1142 1744 2180 2284 2855 3488 4360 4568 5710 6976 8720 9136 11420 17440 18272 22840 34880 36544 45680 62239 91360 124478 182720 248956 311195 497912 622390 995824 1244780 1991648 2489560 3983296 4979120 9958240 19916480