Search a number
-
+
13422120 = 2335373023
BaseRepresentation
bin110011001100…
…111000101000
3221020220200120
4303030320220
511414001440
61155403240
7222041355
oct63147050
927226616
1013422120
117638268
1245b3520
132a1c3aa
141ad562c
1512a1dd0
hexccce28

13422120 has 64 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 3481344.

The previous prime is 13422109. The next prime is 13422121. The reversal of 13422120 is 2122431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13422120.

It is not an unprimeable number, because it can be changed into a prime (13422121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2929 + ... + 5951.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 213422120 is an apocalyptic number.

13422120 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 13422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

13422120 is an abundant number, since it is smaller than the sum of its proper divisors (27946200).

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

13422120 is a wasteful number, since it uses less digits than its factorization.

13422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13422120 is about 3663.6211594541. The cubic root of 13422120 is about 237.6513974674.

Adding to 13422120 its reverse (2122431), we get a palindrome (15544551).

The spelling of 13422120 in words is "thirteen million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 3023 4440 6046 9069 12092 15115 18138 24184 30230 36276 45345 60460 72552 90690 111851 120920 181380 223702 335553 362760 447404 559255 671106 894808 1118510 1342212 1677765 2237020 2684424 3355530 4474040 6711060 13422120