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41368320 = 28355719
BaseRepresentation
bin1001110111001…
…1101100000000
32212211201200000
42131303230000
541042241240
64034400000
71011424230
oct235635400
985751600
1041368320
11213956a4
1211a30000
1387555c6
1456cbcc0
153972430
hex2773b00

41368320 has 432 divisors, whose sum is σ = 178563840. Its totient is φ = 8957952.

The previous prime is 41368307. The next prime is 41368333. The reversal of 41368320 is 2386314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41368307) and next prime (41368333).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×413683202 = 3422675799244800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177271 + ... + 2177289.

Almost surely, 241368320 is an apocalyptic number.

41368320 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 41368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89281920).

41368320 is an abundant number, since it is smaller than the sum of its proper divisors (137195520).

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

41368320 is an equidigital number, since it uses as much as digits as its factorization.

41368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 41368320 is about 6431.8208930287. The cubic root of 41368320 is about 345.8512062504.

The spelling of 41368320 in words is "forty-one million, three hundred sixty-eight thousand, three hundred twenty".