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14309920 = 255175261
BaseRepresentation
bin110110100101…
…101000100000
3222221000112001
4312211220200
512130404140
61230413344
7232426612
oct66455040
928830461
1014309920
118094289
124961254
132c70511
141c86db2
1513c9e9a
hexda5a20

14309920 has 48 divisors (see below), whose sum is σ = 35802648. Its totient is φ = 5386240.

The previous prime is 14309917. The next prime is 14309921. The reversal of 14309920 is 2990341.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13808656 + 501264 = 3716^2 + 708^2 .

It is not an unprimeable number, because it can be changed into a prime (14309921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 5350.

Almost surely, 214309920 is an apocalyptic number.

14309920 is a gapful number since it is divisible by the number (10) 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 14309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17901324).

14309920 is an abundant number, since it is smaller than the sum of its proper divisors (21492728).

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

14309920 is a wasteful number, since it uses less digits than its factorization.

14309920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 14309920 is about 3782.8454898396. The cubic root of 14309920 is about 242.7797176156.

The spelling of 14309920 in words is "fourteen million, three hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 5261 10522 21044 26305 42088 52610 84176 89437 105220 168352 178874 210440 357748 420880 447185 715496 841760 894370 1430992 1788740 2861984 3577480 7154960 14309920