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41120400 = 2435234267
BaseRepresentation
bin1001110011011…
…1001010010000
32212101010120210
42130313022100
541011323100
64025204120
71006342356
oct234671220
985333523
1041120400
1121236402
1211930640
1386997c9
1456657d6
153923c50
hex2737290

41120400 has 60 divisors (see below), whose sum is σ = 131726192. Its totient is φ = 10965120.

The previous prime is 41120393. The next prime is 41120407. The reversal of 41120400 is 402114.

It is an interprime number because it is at equal distance from previous prime (41120393) and next prime (41120407).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (41120407) 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, 15934 + ... + 18333.

Almost surely, 241120400 is an apocalyptic number.

41120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41120400 is an abundant number, since it is smaller than the sum of its proper divisors (90605792).

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

41120400 is a wasteful number, since it uses less digits than its factorization.

41120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34288 (or 34277 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 41120400 is about 6412.5190058198. The cubic root of 41120400 is about 345.1589269878.

Adding to 41120400 its reverse (402114), we get a palindrome (41522514).

The spelling of 41120400 in words is "forty-one million, one hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 34267 68534 102801 137068 171335 205602 274136 342670 411204 514005 548272 685340 822408 856675 1028010 1370680 1644816 1713350 2056020 2570025 2741360 3426700 4112040 5140050 6853400 8224080 10280100 13706800 20560200 41120400