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13940208 = 243323261
BaseRepresentation
bin110101001011…
…010111110000
3222020020101000
4311023113300
512032041313
61214442000
7226330002
oct65132760
928206330
1013940208
117961537
124803300
132b71159
141bcc372
151355673
hexd4b5f0

13940208 has 120 divisors (see below), whose sum is σ = 42514640. Its totient is φ = 4371840.

The previous prime is 13940207. The next prime is 13940209. The reversal of 13940208 is 80204931.

It is an interprime number because it is at equal distance from previous prime (13940207) and next prime (13940209).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13940203) 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 23 ways as a sum of consecutive naturals, for example, 228498 + ... + 228558.

Almost surely, 213940208 is an apocalyptic number.

13940208 is a gapful number since it is divisible by the number (18) 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 13940208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21257320).

13940208 is an abundant number, since it is smaller than the sum of its proper divisors (28574432).

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

13940208 is a wasteful number, since it uses less digits than its factorization.

13940208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13940208 is about 3733.6587953374. The cubic root of 13940208 is about 240.6706243504.

The spelling of 13940208 in words is "thirteen million, nine hundred forty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 61 69 72 92 108 122 138 144 183 184 207 216 244 276 366 368 414 432 488 529 549 552 621 732 828 976 1058 1098 1104 1242 1403 1464 1587 1647 1656 2116 2196 2484 2806 2928 3174 3294 3312 4209 4232 4392 4761 4968 5612 6348 6588 8418 8464 8784 9522 9936 11224 12627 12696 13176 14283 16836 19044 22448 25254 25392 26352 28566 32269 33672 37881 38088 50508 57132 64538 67344 75762 76176 96807 101016 114264 129076 151524 193614 202032 228528 258152 290421 303048 387228 516304 580842 606096 774456 871263 1161684 1548912 1742526 2323368 3485052 4646736 6970104 13940208