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13351000 = 235313279
BaseRepresentation
bin110010111011…
…100001011000
3221010022010111
4302323201120
511404213000
61154054104
7221324125
oct62734130
927108114
1013351000
117599893
12457a334
1329c5c00
141ab774c
15128acba
hexcbb858

13351000 has 96 divisors (see below), whose sum is σ = 34257600. Its totient is φ = 4867200.

The previous prime is 13350989. The next prime is 13351031. The reversal of 13351000 is 15331.

13351000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 168961 + ... + 169039.

It is an arithmetic number, because the mean of its divisors is an integer number (356850).

Almost surely, 213351000 is an apocalyptic number.

13351000 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 13351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128800).

13351000 is an abundant number, since it is smaller than the sum of its proper divisors (20906600).

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

13351000 is a wasteful number, since it uses less digits than its factorization.

13351000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 13351000 is about 3653.9020238644. The cubic root of 13351000 is about 237.2309048246.

Adding to 13351000 its reverse (15331), we get a palindrome (13366331).

The spelling of 13351000 in words is "thirteen million, three hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 79 100 104 125 130 158 169 200 250 260 316 325 338 395 500 520 632 650 676 790 845 1000 1027 1300 1352 1580 1625 1690 1975 2054 2600 3160 3250 3380 3950 4108 4225 5135 6500 6760 7900 8216 8450 9875 10270 13000 13351 15800 16900 19750 20540 21125 25675 26702 33800 39500 41080 42250 51350 53404 66755 79000 84500 102700 106808 128375 133510 169000 205400 256750 267020 333775 513500 534040 667550 1027000 1335100 1668875 2670200 3337750 6675500 13351000