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14494480 = 24571113181
BaseRepresentation
bin110111010010…
…101100010000
31000021101200121
4313102230100
512202310410
61234400024
7234125650
oct67225420
930241617
1014494480
1181aaa10
124a30014
133006520
141cd4360
1514149da
hexdd2b10

14494480 has 160 divisors (see below), whose sum is σ = 45497088. Its totient is φ = 4147200.

The previous prime is 14494477. The next prime is 14494481. The reversal of 14494480 is 8449441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14494481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79990 + ... + 80170.

Almost surely, 214494480 is an apocalyptic number.

14494480 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 14494480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

14494480 is an abundant number, since it is smaller than the sum of its proper divisors (31002608).

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

14494480 is a wasteful number, since it uses less digits than its factorization.

14494480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 14494480 is about 3807.1616724274. The cubic root of 14494480 is about 243.8190004086.

It can be divided in two parts, 1449 and 4480, that added together give a square (5929 = 772).

The spelling of 14494480 in words is "fourteen million, four hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 181 182 208 220 260 280 286 308 362 364 385 440 455 520 560 572 616 715 724 728 770 880 905 910 1001 1040 1144 1232 1267 1430 1448 1456 1540 1810 1820 1991 2002 2288 2353 2534 2860 2896 3080 3620 3640 3982 4004 4706 5005 5068 5720 6160 6335 7240 7280 7964 8008 9412 9955 10010 10136 11440 11765 12670 13937 14480 15928 16016 16471 18824 19910 20020 20272 23530 25340 25883 27874 31856 32942 37648 39820 40040 47060 50680 51766 55748 65884 69685 79640 80080 82355 94120 101360 103532 111496 129415 131768 139370 159280 164710 181181 188240 207064 222992 258830 263536 278740 329420 362362 414128 517660 557480 658840 724724 905905 1035320 1114960 1317680 1449448 1811810 2070640 2898896 3623620 7247240 14494480