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41320000 = 26541033
BaseRepresentation
bin1001110110011…
…1111001000000
32212202021101101
42131213321000
541034220000
64033344144
71011133321
oct235477100
985667341
1041320000
1121362367
1211a08054
138739607
1456b8448
153962e6a
hex2767e40

41320000 has 70 divisors (see below), whose sum is σ = 102559358. Its totient is φ = 16512000.

The previous prime is 41319961. The next prime is 41320021. The reversal of 41320000 is 2314.

41320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 5607424 + 35712576 = 2368^2 + 5976^2 .

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

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 9 ways as a sum of consecutive naturals, for example, 39484 + ... + 40516.

Almost surely, 241320000 is an apocalyptic number.

41320000 is a gapful number since it is divisible by the number (40) 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 41320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51279679).

41320000 is an abundant number, since it is smaller than the sum of its proper divisors (61239358).

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

41320000 is an equidigital number, since it uses as much as digits as its factorization.

41320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1040 counting only the distinct ones).

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

The square root of 41320000 is about 6428.0634719953. The cubic root of 41320000 is about 345.7164973628.

Adding to 41320000 its reverse (2314), we get a palindrome (41322314).

The spelling of 41320000 in words is "forty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1033 1250 1600 2000 2066 2500 4000 4132 5000 5165 8000 8264 10000 10330 16528 20000 20660 25825 33056 40000 41320 51650 66112 82640 103300 129125 165280 206600 258250 330560 413200 516500 645625 826400 1033000 1291250 1652800 2066000 2582500 4132000 5165000 8264000 10330000 20660000 41320000