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14074200 = 23325271117
BaseRepresentation
bin110101101100…
…000101011000
3222111001011200
4311230011120
512100333300
61221354200
7230425440
oct65540530
928431150
1014074200
117a43178
124868960
132bba13a
141c25120
151380200
hexd6c158

14074200 has 144 divisors (see below), whose sum is σ = 54066480. Its totient is φ = 3214080.

The previous prime is 14074187. The next prime is 14074211. The reversal of 14074200 is 247041.

It is a happy number.

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

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 35 ways as a sum of consecutive naturals, for example, 12042 + ... + 13158.

Almost surely, 214074200 is an apocalyptic number.

14074200 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 14074200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27033240).

14074200 is an abundant number, since it is smaller than the sum of its proper divisors (39992280).

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

14074200 is a wasteful number, since it uses less digits than its factorization.

14074200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1134 counting only the distinct ones).

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

The square root of 14074200 is about 3751.5596756549. The cubic root of 14074200 is about 241.4392681925.

The spelling of 14074200 in words is "fourteen million, seventy-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1117 1260 1400 1575 1800 2100 2234 2520 3150 3351 4200 4468 5585 6300 6702 7819 8936 10053 11170 12600 13404 15638 16755 20106 22340 23457 26808 27925 31276 33510 39095 40212 44680 46914 50265 55850 62552 67020 70371 78190 80424 83775 93828 100530 111700 117285 134040 140742 156380 167550 187656 195475 201060 223400 234570 251325 281484 312760 335100 351855 390950 402120 469140 502650 562968 586425 670200 703710 781900 938280 1005300 1172850 1407420 1563800 1759275 2010600 2345700 2814840 3518550 4691400 7037100 14074200