Search a number
-
+
13376000 = 29531119
BaseRepresentation
bin110011000001…
…101000000000
3221011120102102
4303001220000
511411013000
61154405532
7221460041
oct63015000
927146372
1013376000
117606650
1245908a8
132a043c1
141ac28c8
1512933d5
hexcc1a00

13376000 has 160 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 4608000.

The previous prime is 13375997. The next prime is 13376003. The reversal of 13376000 is 67331.

It is an interprime number because it is at equal distance from previous prime (13375997) and next prime (13376003).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13376003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703991 + ... + 704009.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 213376000 is an apocalyptic number.

13376000 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 13376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

13376000 is an abundant number, since it is smaller than the sum of its proper divisors (24925120).

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

13376000 is an equidigital number, since it uses as much as digits as its factorization.

13376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 13376000 is about 3657.3214242120. The cubic root of 13376000 is about 237.3788856160.

It can be divided in two parts, 1337 and 6000, that added together give a palindrome (7337).

The spelling of 13376000 in words is "thirteen million, three hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 80 88 95 100 110 125 128 152 160 176 190 200 209 220 250 256 275 304 320 352 380 400 418 440 475 500 512 550 608 640 704 760 800 836 880 950 1000 1045 1100 1216 1280 1375 1408 1520 1600 1672 1760 1900 2000 2090 2200 2375 2432 2560 2750 2816 3040 3200 3344 3520 3800 4000 4180 4400 4750 4864 5225 5500 5632 6080 6400 6688 7040 7600 8000 8360 8800 9500 9728 10450 11000 12160 12800 13376 14080 15200 16000 16720 17600 19000 20900 22000 24320 26125 26752 28160 30400 32000 33440 35200 38000 41800 44000 48640 52250 53504 60800 64000 66880 70400 76000 83600 88000 104500 107008 121600 133760 140800 152000 167200 176000 209000 243200 267520 304000 334400 352000 418000 535040 608000 668800 704000 836000 1216000 1337600 1672000 2675200 3344000 6688000 13376000