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14137500 = 223551329
BaseRepresentation
bin110101111011…
…100010011100
3222121021000010
4311323202130
512104400000
61223003220
7231111126
oct65734234
928537003
1014137500
117a86793
124899510
132c0cbb0
141c40216
151393d50
hexd7b89c

14137500 has 144 divisors (see below), whose sum is σ = 45934560. Its totient is φ = 3360000.

The previous prime is 14137499. The next prime is 14137507. The reversal of 14137500 is 573141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14137507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487486 + ... + 487514.

It is an arithmetic number, because the mean of its divisors is an integer number (318990).

Almost surely, 214137500 is an apocalyptic number.

14137500 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 14137500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967280).

14137500 is an abundant number, since it is smaller than the sum of its proper divisors (31797060).

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

14137500 is a wasteful number, since it uses less digits than its factorization.

14137500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 14137500 is about 3759.9867021041. The cubic root of 14137500 is about 241.8006919411.

The spelling of 14137500 in words is "fourteen million, one hundred thirty-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 50 52 58 60 65 75 78 87 100 116 125 130 145 150 156 174 195 250 260 290 300 325 348 375 377 390 435 500 580 625 650 725 750 754 780 870 975 1131 1250 1300 1450 1500 1508 1625 1740 1875 1885 1950 2175 2262 2500 2900 3125 3250 3625 3750 3770 3900 4350 4524 4875 5655 6250 6500 7250 7500 7540 8125 8700 9375 9425 9750 10875 11310 12500 14500 16250 18125 18750 18850 19500 21750 22620 24375 28275 32500 36250 37500 37700 40625 43500 47125 48750 54375 56550 72500 81250 90625 94250 97500 108750 113100 121875 141375 162500 181250 188500 217500 235625 243750 271875 282750 362500 471250 487500 543750 565500 706875 942500 1087500 1178125 1413750 2356250 2827500 3534375 4712500 7068750 14137500