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41368680 = 23325114913
BaseRepresentation
bin1001110111001…
…1110001101000
32212211202011100
42131303301220
541042244210
64034401400
71011425253
oct235636150
985752140
1041368680
11213959a1
1211a30260
138755812
1456cc09a
1539725c0
hex2773c68

41368680 has 48 divisors (see below), whose sum is σ = 134449380. Its totient is φ = 11031552.

The previous prime is 41368619. The next prime is 41368687. The reversal of 41368680 is 8686314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40525956 + 842724 = 6366^2 + 918^2 .

It is a super-2 number, since 2×413686802 = 3422735369884800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41368687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57097 + ... + 57816.

Almost surely, 241368680 is an apocalyptic number.

41368680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41368680 is an abundant number, since it is smaller than the sum of its proper divisors (93080700).

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

41368680 is a wasteful number, since it uses less digits than its factorization.

41368680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114930 (or 114923 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 41368680 is about 6431.8488788217. The cubic root of 41368680 is about 345.8522094824.

The spelling of 41368680 in words is "forty-one million, three hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 114913 229826 344739 459652 574565 689478 919304 1034217 1149130 1378956 1723695 2068434 2298260 2757912 3447390 4136868 4596520 5171085 6894780 8273736 10342170 13789560 20684340 41368680