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14207040 = 263254933
BaseRepresentation
bin110110001100…
…100001000000
3222201210101200
4312030201000
512114111130
61224301200
7231520641
oct66144100
928653350
1014207040
118023a61
124911800
132c35743
141c5b6c8
1513a9760
hexd8c840

14207040 has 84 divisors (see below), whose sum is σ = 48876204. Its totient is φ = 3787776.

The previous prime is 14206999. The next prime is 14207057. The reversal of 14207040 is 4070241.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 9437184 = 2184^2 + 3072^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414 + ... + 5346.

Almost surely, 214207040 is an apocalyptic number.

14207040 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 14207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24438102).

14207040 is an abundant number, since it is smaller than the sum of its proper divisors (34669164).

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

14207040 is a wasteful number, since it uses less digits than its factorization.

14207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14207040 is about 3769.2227315456. Note that the first 3 decimals coincide. The cubic root of 14207040 is about 242.1965027385.

Adding to 14207040 its reverse (4070241), we get a palindrome (18277281).

The spelling of 14207040 in words is "fourteen million, two hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4933 9866 14799 19732 24665 29598 39464 44397 49330 59196 73995 78928 88794 98660 118392 147990 157856 177588 197320 221985 236784 295980 315712 355176 394640 443970 473568 591960 710352 789280 887940 947136 1183920 1420704 1578560 1775880 2367840 2841408 3551760 4735680 7103520 14207040