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14500640 = 2557112107
BaseRepresentation
bin110111010100…
…001100100000
31000021201010202
4313110030200
512203010030
61234444332
7234152630
oct67241440
930251122
1014500640
118204600
124a336a8
13300927b
141cd66c0
151416745
hexdd4320

14500640 has 144 divisors (see below), whose sum is σ = 43436736. Its totient is φ = 4477440.

The previous prime is 14500631. The next prime is 14500657. The reversal of 14500640 is 4600541.

It is a happy number.

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

It is a nialpdrome in base 16.

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, 135467 + ... + 135573.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 214500640 is an apocalyptic number.

14500640 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 14500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718368).

14500640 is an abundant number, since it is smaller than the sum of its proper divisors (28936096).

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

14500640 is a wasteful number, since it uses less digits than its factorization.

14500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 14500640 is about 3807.9705881217. The cubic root of 14500640 is about 243.8535356783.

Subtracting from 14500640 its reverse (4600541), we obtain a palindrome (9900099).

The spelling of 14500640 in words is "fourteen million, five hundred thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 107 110 112 121 140 154 160 176 214 220 224 242 280 308 352 385 428 440 484 535 560 605 616 749 770 847 856 880 968 1070 1120 1177 1210 1232 1498 1540 1694 1712 1760 1936 2140 2354 2420 2464 2996 3080 3388 3424 3745 3872 4235 4280 4708 4840 5885 5992 6160 6776 7490 8239 8470 8560 9416 9680 11770 11984 12320 12947 13552 14980 16478 16940 17120 18832 19360 23540 23968 25894 27104 29960 32956 33880 37664 41195 47080 51788 59920 64735 65912 67760 82390 90629 94160 103576 119840 129470 131824 135520 164780 181258 188320 207152 258940 263648 329560 362516 414304 453145 517880 659120 725032 906290 1035760 1318240 1450064 1812580 2071520 2900128 3625160 7250320 14500640