Search a number
-
+
13795000 = 23543189
BaseRepresentation
bin110100100111…
…111010111000
3221221212011221
4310213322320
512012420000
61211401424
7225153442
oct64477270
927855157
1013795000
11787242a
124753274
132b2002b
141b91492
15132761a
hexd27eb8

13795000 has 80 divisors (see below), whose sum is σ = 33739200. Its totient is φ = 5280000.

The previous prime is 13794971. The next prime is 13795021. The reversal of 13795000 is 59731.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154956 + ... + 155044.

It is an arithmetic number, because the mean of its divisors is an integer number (421740).

Almost surely, 213795000 is an apocalyptic number.

13795000 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 13795000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869600).

13795000 is an abundant number, since it is smaller than the sum of its proper divisors (19944200).

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

13795000 is an equidigital number, since it uses as much as digits as its factorization.

13795000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 13795000 is about 3714.1620858546. The cubic root of 13795000 is about 239.8320584351.

The spelling of 13795000 in words is "thirteen million, seven hundred ninety-five thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 89 100 124 125 155 178 200 248 250 310 356 445 500 620 625 712 775 890 1000 1240 1250 1550 1780 2225 2500 2759 3100 3560 3875 4450 5000 5518 6200 7750 8900 11036 11125 13795 15500 17800 19375 22072 22250 27590 31000 38750 44500 55180 55625 68975 77500 89000 110360 111250 137950 155000 222500 275900 344875 445000 551800 689750 1379500 1724375 2759000 3448750 6897500 13795000