Search a number
-
+
13310370 = 2325712083
BaseRepresentation
bin110010110001…
…100110100010
3221001020101200
4302301212202
511401412440
61153142030
7221064513
oct62614642
927036350
1013310370
117571307
12455a916
1329b0578
141aa6a0a
15127dc30
hexcb19a2

13310370 has 48 divisors (see below), whose sum is σ = 35111232. Its totient is φ = 3497760.

The previous prime is 13310369. The next prime is 13310387. The reversal of 13310370 is 7301331.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5349 + ... + 7431.

It is an arithmetic number, because the mean of its divisors is an integer number (731484).

Almost surely, 213310370 is an apocalyptic number.

13310370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17555616).

13310370 is an abundant number, since it is smaller than the sum of its proper divisors (21800862).

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

13310370 is a wasteful number, since it uses less digits than its factorization.

13310370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 13310370 is about 3648.3379777647. The cubic root of 13310370 is about 236.9900118634.

The spelling of 13310370 in words is "thirteen million, three hundred ten thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2083 2130 3195 4166 6249 6390 10415 12498 18747 20830 31245 37494 62490 93735 147893 187470 295786 443679 739465 887358 1331037 1478930 2218395 2662074 4436790 6655185 13310370