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19996880 = 2451811381
BaseRepresentation
bin100110001001…
…0000011010000
31101121221120012
41030102003100
520104400010
61552334052
7331653641
oct114220320
941557505
1019996880
1110318a52
126844328
1341b1b97
1429276c8
151b50005
hex13120d0

19996880 has 40 divisors (see below), whose sum is σ = 46783464. Its totient is φ = 7948800.

The previous prime is 19996871. The next prime is 19996927. The reversal of 19996880 is 8869991.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 19963024 = 184^2 + 4468^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13790 + ... + 15170.

Almost surely, 219996880 is an apocalyptic number.

19996880 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 19996880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23391732).

19996880 is an abundant number, since it is smaller than the sum of its proper divisors (26786584).

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

19996880 is a wasteful number, since it uses less digits than its factorization.

19996880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 50.

The square root of 19996880 is about 4471.7871147898. The cubic root of 19996880 is about 271.4276459538.

It can be divided in two parts, 199 and 96880, that added together give a palindrome (97079).

The spelling of 19996880 in words is "nineteen million, nine hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1381 1448 1810 2762 2896 3620 5524 6905 7240 11048 13810 14480 22096 27620 55240 110480 249961 499922 999844 1249805 1999688 2499610 3999376 4999220 9998440 19996880