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13989456 = 2433134753
BaseRepresentation
bin110101010111…
…011001010000
3222022201221000
4311113121100
512040130311
61215502000
7226623405
oct65273120
928281830
1013989456
117995538
124827900
132b8a6b0
141c022ac
151365056
hexd57650

13989456 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 4133376.

The previous prime is 13989449. The next prime is 13989457. The reversal of 13989456 is 65498931.

It is a happy number.

13989456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13989457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263926 + ... + 263978.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 213989456 is an apocalyptic number.

13989456 is a gapful number since it is divisible by the number (16) 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 13989456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13989456 is an abundant number, since it is smaller than the sum of its proper divisors (31007664).

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

13989456 is a wasteful number, since it uses less digits than its factorization.

13989456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 13989456 is about 3740.2481201118. The cubic root of 13989456 is about 240.9537051736.

The spelling of 13989456 in words is "thirteen million, nine hundred eighty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 47 48 52 53 54 72 78 94 104 106 108 117 141 144 156 159 188 208 212 216 234 282 312 318 351 376 423 424 432 468 477 564 611 624 636 689 702 752 846 848 936 954 1128 1222 1269 1272 1378 1404 1431 1692 1833 1872 1908 2067 2256 2444 2491 2538 2544 2756 2808 2862 3384 3666 3816 4134 4888 4982 5076 5499 5512 5616 5724 6201 6768 7332 7473 7632 8268 9776 9964 10152 10998 11024 11448 12402 14664 14946 16497 16536 18603 19928 20304 21996 22419 22896 24804 29328 29892 32383 32994 33072 37206 39856 43992 44838 49608 59784 64766 65988 67257 74412 87984 89676 97149 99216 119568 129532 131976 134514 148824 179352 194298 259064 263952 269028 291447 297648 358704 388596 518128 538056 582894 777192 874341 1076112 1165788 1554384 1748682 2331576 3497364 4663152 6994728 13989456