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14250080 = 2551321731
BaseRepresentation
bin110110010111…
…000001100000
3222210222102202
4312113001200
512122000310
61225232332
7232060265
oct66270140
928728382
1014250080
118053329
1249326a8
132c4c200
141c6d26c
1513b73a5
hexd97060

14250080 has 144 divisors (see below), whose sum is σ = 39844224. Its totient is φ = 4792320.

The previous prime is 14250079. The next prime is 14250109. The reversal of 14250080 is 8005241.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 459665 + ... + 459695.

It is an arithmetic number, because the mean of its divisors is an integer number (276696).

Almost surely, 214250080 is an apocalyptic number.

14250080 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 14250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922112).

14250080 is an abundant number, since it is smaller than the sum of its proper divisors (25594144).

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

14250080 is a wasteful number, since it uses less digits than its factorization.

14250080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 14250080 is about 3774.9278138794. The cubic root of 14250080 is about 242.4408329807.

The spelling of 14250080 in words is "fourteen million, two hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 31 32 34 40 52 62 65 68 80 85 104 124 130 136 155 160 169 170 208 221 248 260 272 310 338 340 403 416 442 496 520 527 544 620 676 680 806 845 884 992 1040 1054 1105 1240 1352 1360 1612 1690 1768 2015 2080 2108 2210 2480 2635 2704 2720 2873 3224 3380 3536 4030 4216 4420 4960 5239 5270 5408 5746 6448 6760 6851 7072 8060 8432 8840 10478 10540 11492 12896 13520 13702 14365 16120 16864 17680 20956 21080 22984 26195 27040 27404 28730 32240 34255 35360 41912 42160 45968 52390 54808 57460 64480 68510 83824 84320 89063 91936 104780 109616 114920 137020 167648 178126 209560 219232 229840 274040 356252 419120 445315 459680 548080 712504 838240 890630 1096160 1425008 1781260 2850016 3562520 7125040 14250080