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41421420 = 22325359641
BaseRepresentation
bin1001111000000…
…0101001101100
32212221102111200
42132000221230
541100441140
64035445500
71012035105
oct236005154
985842450
1041421420
1121421587
1211a56890
138773821
1457033ac
153983030
hex2780a6c

41421420 has 72 divisors (see below), whose sum is σ = 126191520. Its totient is φ = 10997760.

The previous prime is 41421409. The next prime is 41421433. The reversal of 41421420 is 2412414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41421393 and 41421402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64300 + ... + 64940.

It is an arithmetic number, because the mean of its divisors is an integer number (1752660).

Almost surely, 241421420 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 41421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63095760).

41421420 is an abundant number, since it is smaller than the sum of its proper divisors (84770100).

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

41421420 is a wasteful number, since it uses less digits than its factorization.

41421420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41421420 is about 6435.9474826944. The cubic root of 41421420 is about 345.9991201376. Note that the first 3 decimals are identical.

Adding to 41421420 its reverse (2412414), we get a palindrome (43833834).

The spelling of 41421420 in words is "forty-one million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 641 718 1077 1282 1436 1795 1923 2154 2564 3205 3231 3590 3846 4308 5385 5769 6410 6462 7180 7692 9615 10770 11538 12820 12924 16155 19230 21540 23076 28845 32310 38460 57690 64620 115380 230119 460238 690357 920476 1150595 1380714 2071071 2301190 2761428 3451785 4142142 4602380 6903570 8284284 10355355 13807140 20710710 41421420