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14098000 = 245371953
BaseRepresentation
bin110101110001…
…111001010000
3222112020211011
4311301321100
512102114000
61222100304
7230555020
oct65617120
928466734
1014098000
117a5a044
12487a694
132bc7c17
141c2da80
1513872ba
hexd71e50

14098000 has 160 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 4492800.

The previous prime is 14097997. The next prime is 14098001. The reversal of 14098000 is 89041.

14098000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14098001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265974 + ... + 266026.

It is an arithmetic number, because the mean of its divisors is an integer number (261144).

Almost surely, 214098000 is an apocalyptic number.

14098000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14098000 is the 2375-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

14098000 is an abundant number, since it is smaller than the sum of its proper divisors (27685040).

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

14098000 is a wasteful number, since it uses less digits than its factorization.

14098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 14098000 is about 3754.7303498387. The cubic root of 14098000 is about 241.5752858365.

It can be divided in two parts, 1409 and 8000, that added together give a square (9409 = 972).

The spelling of 14098000 in words is "fourteen million, ninety-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 53 56 70 76 80 95 100 106 112 125 133 140 152 175 190 200 212 250 265 266 280 304 350 371 380 400 424 475 500 530 532 560 665 700 742 760 848 875 950 1000 1007 1060 1064 1325 1330 1400 1484 1520 1750 1855 1900 2000 2014 2120 2128 2375 2650 2660 2800 2968 3325 3500 3710 3800 4028 4240 4750 5035 5300 5320 5936 6625 6650 7000 7049 7420 7600 8056 9275 9500 10070 10600 10640 13250 13300 14000 14098 14840 16112 16625 18550 19000 20140 21200 25175 26500 26600 28196 29680 33250 35245 37100 38000 40280 46375 50350 53000 53200 56392 66500 70490 74200 80560 92750 100700 106000 112784 125875 133000 140980 148400 176225 185500 201400 251750 266000 281960 352450 371000 402800 503500 563920 704900 742000 881125 1007000 1409800 1762250 2014000 2819600 3524500 7049000 14098000