Search a number
-
+
13420000 = 25541161
BaseRepresentation
bin110011001100…
…010111100000
3221020210210001
4303030113200
511413420000
61155345344
7222032236
oct63142740
927223701
1013420000
117636710
1245b2254
132a1b439
141ad4956
1512a146a
hexccc5e0

13420000 has 120 divisors (see below), whose sum is σ = 36607032. Its totient is φ = 4800000.

The previous prime is 13419949. The next prime is 13420003. The reversal of 13420000 is 2431.

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 (13420003) 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 19 ways as a sum of consecutive naturals, for example, 219970 + ... + 220030.

Almost surely, 213420000 is an apocalyptic number.

13420000 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 13420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18303516).

13420000 is an abundant number, since it is smaller than the sum of its proper divisors (23187032).

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

13420000 is an equidigital number, since it uses as much as digits as its factorization.

13420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13420000 is about 3663.3318168028. The cubic root of 13420000 is about 237.6388846033.

Adding to 13420000 its reverse (2431), we get a palindrome (13422431).

Subtracting from 13420000 its reverse (2431), we obtain a square (13417569 = 36632).

The spelling of 13420000 in words is "thirteen million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 61 80 88 100 110 122 125 160 176 200 220 244 250 275 305 352 400 440 488 500 550 610 625 671 800 880 976 1000 1100 1220 1250 1342 1375 1525 1760 1952 2000 2200 2440 2500 2684 2750 3050 3355 4000 4400 4880 5000 5368 5500 6100 6710 6875 7625 8800 9760 10000 10736 11000 12200 13420 13750 15250 16775 20000 21472 22000 24400 26840 27500 30500 33550 38125 44000 48800 53680 55000 61000 67100 76250 83875 107360 110000 122000 134200 152500 167750 220000 244000 268400 305000 335500 419375 536800 610000 671000 838750 1220000 1342000 1677500 2684000 3355000 6710000 13420000