Search a number
-
+
20104000 = 26537359
BaseRepresentation
bin100110010110…
…0001101000000
31101211101111121
41030230031000
520121312000
61554522024
7332611150
oct114541500
941741447
1020104000
1110391484
126896314
13421b877
142954760
151b71b1a
hex132c340

20104000 has 112 divisors (see below), whose sum is σ = 57058560. Its totient is φ = 6873600.

The previous prime is 20103977. The next prime is 20104003. The reversal of 20104000 is 40102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20104003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55821 + ... + 56179.

Almost surely, 220104000 is an apocalyptic number.

20104000 is a gapful number since it is divisible by the number (20) 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 20104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28529280).

20104000 is an abundant number, since it is smaller than the sum of its proper divisors (36954560).

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

20104000 is an equidigital number, since it uses as much as digits as its factorization.

20104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 20104000 is about 4483.7484318369. The cubic root of 20104000 is about 271.9114475292.

Adding to 20104000 its reverse (40102), we get a palindrome (20144102).

The spelling of 20104000 in words is "twenty million, one hundred four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 359 400 448 500 560 700 718 800 875 1000 1120 1400 1436 1600 1750 1795 2000 2240 2513 2800 2872 3500 3590 4000 5026 5600 5744 7000 7180 8000 8975 10052 11200 11488 12565 14000 14360 17950 20104 22976 25130 28000 28720 35900 40208 44875 50260 56000 57440 62825 71800 80416 89750 100520 114880 125650 143600 160832 179500 201040 251300 287200 314125 359000 402080 502600 574400 628250 718000 804160 1005200 1256500 1436000 2010400 2513000 2872000 4020800 5026000 10052000 20104000