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14113620 = 2232589881
BaseRepresentation
bin110101110101…
…101101010100
3222120001020200
4311311231110
512103113440
61222300500
7230651403
oct65655524
928501220
1014113620
117a6a854
124887730
132c02071
141c3563a
15138bc30
hexd75b54

14113620 has 72 divisors (see below), whose sum is σ = 43341480. Its totient is φ = 3717120.

The previous prime is 14113609. The next prime is 14113657. The reversal of 14113620 is 2631141.

It is a happy number.

14113620 is a `hidden beast` number, since 1 + 41 + 1 + 3 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 14107536 = 78^2 + 3756^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14113593 and 14113602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15580 + ... + 16460.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 214113620 is an apocalyptic number.

14113620 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 14113620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670740).

14113620 is an abundant number, since it is smaller than the sum of its proper divisors (29227860).

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

14113620 is a wasteful number, since it uses less digits than its factorization.

14113620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14113620 is about 3756.8098168526. The cubic root of 14113620 is about 241.6644713765.

Adding to 14113620 its reverse (2631141), we get a palindrome (16744761).

The spelling of 14113620 in words is "fourteen million, one hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 881 890 1068 1335 1602 1762 1780 2643 2670 3204 3524 4005 4405 5286 5340 7929 8010 8810 10572 13215 15858 16020 17620 26430 31716 39645 52860 78409 79290 156818 158580 235227 313636 392045 470454 705681 784090 940908 1176135 1411362 1568180 2352270 2822724 3528405 4704540 7056810 14113620