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14298480 = 2432572837
BaseRepresentation
bin110110100010…
…110101110000
3222220102211100
4312202311300
512130022410
61230244400
7232351350
oct66426560
928812740
1014298480
118086729
124956700
132c68251
141c82b60
1513c68c0
hexda2d70

14298480 has 120 divisors (see below), whose sum is σ = 54898272. Its totient is φ = 3267072.

The previous prime is 14298467. The next prime is 14298491. The reversal of 14298480 is 8489241.

14298480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 3622 + ... + 6458.

Almost surely, 214298480 is an apocalyptic number.

14298480 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 14298480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27449136).

14298480 is an abundant number, since it is smaller than the sum of its proper divisors (40599792).

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

14298480 is a wasteful number, since it uses less digits than its factorization.

14298480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 14298480 is about 3781.3330982605. Note that the first 3 decimals coincide. The cubic root of 14298480 is about 242.7150039898.

The spelling of 14298480 in words is "fourteen million, two hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 2837 5040 5674 8511 11348 14185 17022 19859 22696 25533 28370 34044 39718 42555 45392 51066 56740 59577 68088 79436 85110 99295 102132 113480 119154 127665 136176 158872 170220 178731 198590 204264 226960 238308 255330 297885 317744 340440 357462 397180 408528 476616 510660 595770 680880 714924 794360 893655 953232 1021320 1191540 1429848 1588720 1787310 2042640 2383080 2859696 3574620 4766160 7149240 14298480