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41214300 = 22352374779
BaseRepresentation
bin1001110100111…
…0000101011100
32212112220101120
42131032011130
541022324200
64031210540
71010213211
oct235160534
985486346
1041214300
112129aa06
1211976a50
13870047a
14568bb08
1539419a0
hex274e15c

41214300 has 144 divisors (see below), whose sum is σ = 126658560. Its totient is φ = 10333440.

The previous prime is 41214281. The next prime is 41214331. The reversal of 41214300 is 341214.

41214300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41214300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521661 + ... + 521739.

Almost surely, 241214300 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 41214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63329280).

41214300 is an abundant number, since it is smaller than the sum of its proper divisors (85444260).

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

41214300 is a wasteful number, since it uses less digits than its factorization.

41214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 41214300 is about 6419.8364465148. The cubic root of 41214300 is about 345.4214551113.

Adding to 41214300 its reverse (341214), we get a palindrome (41555514).

It can be divided in two parts, 41214 and 300, that added together give a palindrome (41514).

The spelling of 41214300 in words is "forty-one million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 47 50 60 74 75 79 94 100 111 141 148 150 158 185 188 222 235 237 282 300 316 370 395 444 470 474 555 564 705 740 790 925 940 948 1110 1175 1185 1410 1580 1739 1850 1975 2220 2350 2370 2775 2820 2923 3478 3525 3700 3713 3950 4700 4740 5217 5550 5846 5925 6956 7050 7426 7900 8695 8769 10434 11100 11139 11692 11850 14100 14615 14852 17390 17538 18565 20868 22278 23700 26085 29230 34780 35076 37130 43475 43845 44556 52170 55695 58460 73075 74260 86950 87690 92825 104340 111390 130425 137381 146150 173900 175380 185650 219225 222780 260850 274762 278475 292300 371300 412143 438450 521700 549524 556950 686905 824286 876900 1113900 1373810 1648572 2060715 2747620 3434525 4121430 6869050 8242860 10303575 13738100 20607150 41214300