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14782040 = 23571331131
BaseRepresentation
bin111000011000…
…111001011000
31000211000010222
4320120321120
512241011130
61244455212
7236434220
oct70307130
930730128
1014782040
118386a69
124b4a508
1330a7390
141d6b080
15146ece5
hexe18e58

14782040 has 128 divisors (see below), whose sum is σ = 42577920. Its totient is φ = 4492800.

The previous prime is 14782039. The next prime is 14782073. The reversal of 14782040 is 4028741.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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, 112775 + ... + 112905.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 214782040 is an apocalyptic number.

14782040 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 14782040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

14782040 is an abundant number, since it is smaller than the sum of its proper divisors (27795880).

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

14782040 is a wasteful number, since it uses less digits than its factorization.

14782040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 14782040 is about 3844.7418638967. The cubic root of 14782040 is about 245.4208510094.

The spelling of 14782040 in words is "fourteen million, seven hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 31 35 40 52 56 62 65 70 91 104 124 130 131 140 155 182 217 248 260 262 280 310 364 403 434 455 520 524 620 655 728 806 868 910 917 1048 1085 1240 1310 1612 1703 1736 1820 1834 2015 2170 2620 2821 3224 3406 3640 3668 4030 4061 4340 4585 5240 5642 6812 7336 8060 8122 8515 8680 9170 11284 11921 13624 14105 16120 16244 17030 18340 20305 22568 23842 28210 28427 32488 34060 36680 40610 47684 52793 56420 56854 59605 68120 81220 95368 105586 112840 113708 119210 142135 162440 211172 227416 238420 263965 284270 369551 422344 476840 527930 568540 739102 1055860 1137080 1478204 1847755 2111720 2956408 3695510 7391020 14782040