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13954688 = 271121753
BaseRepresentation
bin110101001110…
…111010000000
3222020222020022
4311032322000
512033022223
61215033012
7226420136
oct65167200
928228208
1013954688
117971400
12480b768
132b77917
141bd3756
151359ac8
hexd4ee80

13954688 has 96 divisors (see below), whose sum is σ = 32965380. Its totient is φ = 5857280.

The previous prime is 13954679. The next prime is 13954691. The reversal of 13954688 is 88645931.

It can be written as a sum of positive squares in 2 ways, for example, as 13017664 + 937024 = 3608^2 + 968^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 263270 + ... + 263322.

Almost surely, 213954688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13954688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16482690).

13954688 is an abundant number, since it is smaller than the sum of its proper divisors (19010692).

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

13954688 is a wasteful number, since it uses less digits than its factorization.

13954688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The square root of 13954688 is about 3735.5974087152. The cubic root of 13954688 is about 240.7539254680.

The spelling of 13954688 in words is "thirteen million, nine hundred fifty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 53 64 68 88 106 121 128 136 176 187 212 242 272 352 374 424 484 544 583 704 748 848 901 968 1088 1166 1408 1496 1696 1802 1936 2057 2176 2332 2992 3392 3604 3872 4114 4664 5984 6413 6784 7208 7744 8228 9328 9911 11968 12826 14416 15488 16456 18656 19822 23936 25652 28832 32912 37312 39644 51304 57664 65824 74624 79288 102608 109021 115328 131648 158576 205216 218042 263296 317152 410432 436084 634304 820864 872168 1268608 1744336 3488672 6977344 13954688