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13985433 = 337211312
BaseRepresentation
bin110101010110…
…011010011001
3222022112102000
4311112122121
512040013213
61215431213
7226605600
oct65263231
928275360
1013985433
117992510
124825509
132b88907
141c00a37
151363c73
hexd56699

13985433 has 72 divisors (see below), whose sum is σ = 27168480. Its totient is φ = 7030800.

The previous prime is 13985431. The next prime is 13985437. The reversal of 13985433 is 33458931.

It is not a de Polignac number, because 13985433 - 21 = 13985431 is a prime.

Its product of digits (38880) is a multiple of the sum of its prime factors (96).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13985431) 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 71 ways as a sum of consecutive naturals, for example, 451128 + ... + 451158.

It is an arithmetic number, because the mean of its divisors is an integer number (377340).

Almost surely, 213985433 is an apocalyptic number.

It is an amenable number.

13985433 is a deficient number, since it is larger than the sum of its proper divisors (13183047).

13985433 is a wasteful number, since it uses less digits than its factorization.

13985433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13985433 is about 3739.7102828963. The cubic root of 13985433 is about 240.9306056408.

The spelling of 13985433 in words is "thirteen million, nine hundred eighty-five thousand, four hundred thirty-three".

Divisors: 1 3 7 9 11 21 27 31 33 49 63 77 93 99 147 189 217 231 279 297 341 441 539 651 693 837 961 1023 1323 1519 1617 1953 2079 2387 2883 3069 4557 4851 5859 6727 7161 8649 9207 10571 13671 14553 16709 20181 21483 25947 31713 41013 47089 50127 60543 64449 73997 95139 141267 150381 181629 221991 285417 423801 451143 517979 665973 1271403 1553937 1997919 4661811 13985433