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14353740 = 22335191399
BaseRepresentation
bin110110110000…
…010101001100
31000000020122000
4312300111030
512133304430
61231352300
7233001432
oct66602514
930006560
1014353740
1181141a5
124982690
132c8744b
141c98d52
1513d7e60
hexdb054c

14353740 has 96 divisors (see below), whose sum is σ = 47040000. Its totient is φ = 3623616.

The previous prime is 14353739. The next prime is 14353741. The reversal of 14353740 is 4735341.

It is an interprime number because it is at equal distance from previous prime (14353739) and next prime (14353741).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14353741) 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, 9561 + ... + 10959.

It is an arithmetic number, because the mean of its divisors is an integer number (490000).

Almost surely, 214353740 is an apocalyptic number.

14353740 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 14353740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520000).

14353740 is an abundant number, since it is smaller than the sum of its proper divisors (32686260).

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

14353740 is a wasteful number, since it uses less digits than its factorization.

14353740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 14353740 is about 3788.6329988533. The cubic root of 14353740 is about 243.0272793639.

The spelling of 14353740 in words is "fourteen million, three hundred fifty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1399 1710 2052 2565 2798 3420 4197 5130 5596 6995 8394 10260 12591 13990 16788 20985 25182 26581 27980 37773 41970 50364 53162 62955 75546 79743 83940 106324 125910 132905 151092 159486 188865 239229 251820 265810 318972 377730 398715 478458 531620 717687 755460 797430 956916 1196145 1435374 1594860 2392290 2870748 3588435 4784580 7176870 14353740