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14375664 = 2433107311
BaseRepresentation
bin110110110101…
…101011110000
31000001100201000
4312311223300
512140010124
61232042000
7233122362
oct66655360
930040630
1014375664
118129716
124993300
132c94414
141ca2d32
1513de6c9
hexdb5af0

14375664 has 80 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 4731840.

The previous prime is 14375663. The next prime is 14375719. The reversal of 14375664 is 46657341.

It is a happy number.

It is a super-4 number, since 4×143756644 (a number of 30 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14375663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46069 + ... + 46379.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 214375664 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 14375664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

14375664 is an abundant number, since it is smaller than the sum of its proper divisors (27407376).

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

14375664 is a wasteful number, since it uses less digits than its factorization.

14375664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 423 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 14375664 is about 3791.5252867415. The cubic root of 14375664 is about 243.1509502593.

The spelling of 14375664 in words is "fourteen million, three hundred seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 311 321 428 432 622 642 856 933 963 1244 1284 1712 1866 1926 2488 2568 2799 2889 3732 3852 4976 5136 5598 5778 7464 7704 8397 11196 11556 14928 15408 16794 22392 23112 33277 33588 44784 46224 66554 67176 99831 133108 134352 199662 266216 299493 399324 532432 598986 798648 898479 1197972 1597296 1796958 2395944 3593916 4791888 7187832 14375664