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13303000 = 235353251
BaseRepresentation
bin110010101111…
…110011011000
3221000212021201
4302233303120
511401144000
61153043544
7221034154
oct62576330
927025251
1013303000
117566817
1245565b4
1329aa0c9
141aa4064
15127b96a
hexcafcd8

13303000 has 64 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 5200000.

The previous prime is 13302973. The next prime is 13303001. The reversal of 13303000 is 30331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52875 + ... + 53125.

Almost surely, 213303000 is an apocalyptic number.

13303000 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 13303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

13303000 is an abundant number, since it is smaller than the sum of its proper divisors (18539720).

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

13303000 is a wasteful number, since it uses less digits than its factorization.

13303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 13303000 is about 3647.3277889436. The cubic root of 13303000 is about 236.9462630456.

Adding to 13303000 its reverse (30331), we get a palindrome (13333331).

The spelling of 13303000 in words is "thirteen million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 251 265 424 500 502 530 1000 1004 1060 1255 1325 2008 2120 2510 2650 5020 5300 6275 6625 10040 10600 12550 13250 13303 25100 26500 26606 31375 50200 53000 53212 62750 66515 106424 125500 133030 251000 266060 332575 532120 665150 1330300 1662875 2660600 3325750 6651500 13303000