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13640620 = 2257231449
BaseRepresentation
bin110100000010…
…001110101100
3221200000102011
4310002032230
511442444440
61204211004
7223641400
oct64021654
927600364
1013640620
117777444
124699a64
132a97996
141b51100
1512e69ea
hexd023ac

13640620 has 72 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 4515840.

The previous prime is 13640617. The next prime is 13640621. The reversal of 13640620 is 2604631.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 13640591 and 13640600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13640621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30156 + ... + 30604.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 213640620 is an apocalyptic number.

13640620 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 13640620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

13640620 is an abundant number, since it is smaller than the sum of its proper divisors (20832980).

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

13640620 is a wasteful number, since it uses less digits than its factorization.

13640620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 13640620 is about 3693.3209987760. The cubic root of 13640620 is about 238.9340457471.

The spelling of 13640620 in words is "thirteen million, six hundred forty thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 449 490 620 868 898 980 1085 1519 1796 2170 2245 3038 3143 4340 4490 6076 6286 7595 8980 12572 13919 15190 15715 22001 27838 30380 31430 44002 55676 62860 69595 88004 97433 110005 139190 194866 220010 278380 389732 440020 487165 682031 974330 1364062 1948660 2728124 3410155 6820310 13640620