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13974444 = 2235111307
BaseRepresentation
bin110101010011…
…101110101100
3222021222100000
4311103232230
512034140234
61215304300
7226531551
oct65235654
928258300
1013974444
117985230
12481b090
132b83903
141bdaa28
151360899
hexd53bac

13974444 has 72 divisors (see below), whose sum is σ = 39993408. Its totient is φ = 4231440.

The previous prime is 13974437. The next prime is 13974451. The reversal of 13974444 is 44447931.

It is an interprime number because it is at equal distance from previous prime (13974437) and next prime (13974451).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13974399 and 13974408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10039 + ... + 11345.

It is an arithmetic number, because the mean of its divisors is an integer number (555464).

Almost surely, 213974444 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 13974444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19996704).

13974444 is an abundant number, since it is smaller than the sum of its proper divisors (26018964).

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

13974444 is a wasteful number, since it uses less digits than its factorization.

13974444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1323 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 13974444 is about 3738.2407627118. The cubic root of 13974444 is about 240.8674856747.

The spelling of 13974444 in words is "thirteen million, nine hundred seventy-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1307 1782 2614 2673 3564 3921 5228 5346 7842 10692 11763 14377 15684 23526 28754 35289 43131 47052 57508 70578 86262 105867 129393 141156 172524 211734 258786 317601 388179 423468 517572 635202 776358 1164537 1270404 1552716 2329074 3493611 4658148 6987222 13974444