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19681435 = 5193141163
BaseRepresentation
bin100101100010…
…1000010011011
31101000220212001
41023011002123
520014301220
61541501431
7326201164
oct113050233
941026761
1019681435
1110122a54
126711877
134101427
14288476b
151adb80a
hex12c509b

19681435 has 32 divisors (see below), whose sum is σ = 26449920. Its totient is φ = 13996800.

The previous prime is 19681433. The next prime is 19681469. The reversal of 19681435 is 53418691.

It is not a de Polignac number, because 19681435 - 21 = 19681433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 19681394 and 19681403.

It is not an unprimeable number, because it can be changed into a prime (19681433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 120664 + ... + 120826.

It is an arithmetic number, because the mean of its divisors is an integer number (826560).

Almost surely, 219681435 is an apocalyptic number.

19681435 is a deficient number, since it is larger than the sum of its proper divisors (6768485).

19681435 is a wasteful number, since it uses less digits than its factorization.

19681435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259.

The product of its digits is 25920, while the sum is 37.

The square root of 19681435 is about 4436.3763366063. The cubic root of 19681435 is about 269.9928438890.

It can be divided in two parts, 1968 and 1435, that added together give a triangular number (3403 = T82).

The spelling of 19681435 in words is "nineteen million, six hundred eighty-one thousand, four hundred thirty-five".

Divisors: 1 5 19 31 41 95 155 163 205 589 779 815 1271 2945 3097 3895 5053 6355 6683 15485 24149 25265 33415 96007 120745 126977 207173 480035 634885 1035865 3936287 19681435