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41380300 = 225213139229
BaseRepresentation
bin1001110111011…
…0100111001100
32212212100002201
42131312213030
541043132200
64034531244
71011504163
oct235664714
985770081
1041380300
11213a36a5
1211a36b24
13875abb0
1456d23da
153975c6a
hex27769cc

41380300 has 72 divisors (see below), whose sum is σ = 97823600. Its totient is φ = 15102720.

The previous prime is 41380267. The next prime is 41380307. The reversal of 41380300 is 308314.

It is not an unprimeable number, because it can be changed into a prime (41380307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180586 + ... + 180814.

Almost surely, 241380300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41380300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48911800).

41380300 is an abundant number, since it is smaller than the sum of its proper divisors (56443300).

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

41380300 is a wasteful number, since it uses less digits than its factorization.

41380300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 41380300 is about 6432.7521326412. The cubic root of 41380300 is about 345.8845884581.

Adding to 41380300 its reverse (308314), we get a palindrome (41688614).

The spelling of 41380300 in words is "forty-one million, three hundred eighty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 139 229 260 278 325 458 556 650 695 916 1145 1300 1390 1807 2290 2780 2977 3475 3614 4580 5725 5954 6950 7228 9035 11450 11908 13900 14885 18070 22900 29770 31831 36140 45175 59540 63662 74425 90350 127324 148850 159155 180700 297700 318310 413803 636620 795775 827606 1591550 1655212 2069015 3183100 4138030 8276060 10345075 20690150 41380300