[go: up one dir, main page]

Search a number
-
+
13445010 = 2325316179
BaseRepresentation
bin110011010010…
…011110010010
3221022002002100
4303102132102
511420220020
61200101230
7222165165
oct63223622
927262070
1013445010
117653487
124604816
132a29937
141addadc
1512a8a90
hexcd2792

13445010 has 96 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 3369600.

The previous prime is 13444999. The next prime is 13445017. The reversal of 13445010 is 1054431.

It is a happy number.

13445010 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13445017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170151 + ... + 170229.

It is an arithmetic number, because the mean of its divisors is an integer number (386880).

Almost surely, 213445010 is an apocalyptic number.

13445010 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 13445010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

13445010 is an abundant number, since it is smaller than the sum of its proper divisors (23695470).

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

13445010 is a wasteful number, since it uses less digits than its factorization.

13445010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13445010 is about 3666.7437870678. The cubic root of 13445010 is about 237.7864171478.

Adding to 13445010 its reverse (1054431), we get a palindrome (14499441).

The spelling of 13445010 in words is "thirteen million, four hundred forty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 61 62 79 90 93 122 155 158 183 186 237 279 305 310 366 395 465 474 549 558 610 711 790 915 930 1098 1185 1395 1422 1830 1891 2370 2449 2745 2790 3555 3782 4819 4898 5490 5673 7110 7347 9455 9638 11346 12245 14457 14694 17019 18910 22041 24095 24490 28365 28914 34038 36735 43371 44082 48190 56730 72285 73470 85095 86742 110205 144570 149389 170190 216855 220410 298778 433710 448167 746945 896334 1344501 1493890 2240835 2689002 4481670 6722505 13445010