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14137620 = 2235741821
BaseRepresentation
bin110101111011…
…100100010100
3222121021011120
4311323210110
512104400440
61223003540
7231111360
oct65734424
928537146
1014137620
117a86892
1248995b0
132c0cc73
141c402a0
151393dd0
hexd7b914

14137620 has 96 divisors (see below), whose sum is σ = 46400256. Its totient is φ = 3148800.

The previous prime is 14137573. The next prime is 14137621. The reversal of 14137620 is 2673141.

14137620 = T71 + T72 + ... + T439.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14137621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16810 + ... + 17630.

It is an arithmetic number, because the mean of its divisors is an integer number (483336).

Almost surely, 214137620 is an apocalyptic number.

14137620 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 14137620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23200128).

14137620 is an abundant number, since it is smaller than the sum of its proper divisors (32262636).

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

14137620 is a wasteful number, since it uses less digits than its factorization.

14137620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 14137620 is about 3760.0026595735. The cubic root of 14137620 is about 241.8013760790.

The spelling of 14137620 in words is "fourteen million, one hundred thirty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 821 861 1148 1230 1435 1642 1722 2460 2463 2870 3284 3444 4105 4305 4926 5740 5747 8210 8610 9852 11494 12315 16420 17220 17241 22988 24630 28735 33661 34482 49260 57470 67322 68964 86205 100983 114940 134644 168305 172410 201966 235627 336610 344820 403932 471254 504915 673220 706881 942508 1009830 1178135 1413762 2019660 2356270 2827524 3534405 4712540 7068810 14137620