Search a number
-
+
20340100 = 2252112412
BaseRepresentation
bin100110110010…
…1110110000100
31102021101101001
41031211312010
520201340400
62003543044
7334613404
oct115456604
942241331
1020340100
1110532900
12698aa84
1342a2181
1429b6804
151bbba6a
hex1365d84

20340100 has 81 divisors (see below), whose sum is σ = 49727503. Its totient is φ = 7216000.

The previous prime is 20340097. The next prime is 20340101. The reversal of 20340100 is 104302.

The square root of 20340100 is 4510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8561476 + 11778624 = 2926^2 + 3432^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20340101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 496080 + ... + 496120.

Almost surely, 220340100 is an apocalyptic number.

20340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20340100 is the 4510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20340100

20340100 is an abundant number, since it is smaller than the sum of its proper divisors (29387403).

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

20340100 is a wasteful number, since it uses less digits than its factorization.

20340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

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

The cubic root of 20340100 is about 272.9717440913.

Adding to 20340100 its reverse (104302), we get a palindrome (20444402).

The spelling of 20340100 in words is "twenty million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 121 164 205 220 242 275 410 451 484 550 605 820 902 1025 1100 1210 1681 1804 2050 2255 2420 3025 3362 4100 4510 4961 6050 6724 8405 9020 9922 11275 12100 16810 18491 19844 22550 24805 33620 36982 42025 45100 49610 73964 84050 92455 99220 124025 168100 184910 203401 248050 369820 406802 462275 496100 813604 924550 1017005 1849100 2034010 4068020 5085025 10170050 20340100