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41201400 = 2335268669
BaseRepresentation
bin1001110100101…
…0111011111000
32212112020200210
42131022323320
541021421100
64031031120
71010130462
oct235127370
985466623
1041201400
1121291249
121196b4a0
1386c7636
145687132
15393cc50
hex274aef8

41201400 has 48 divisors (see below), whose sum is σ = 127726200. Its totient is φ = 10986880.

The previous prime is 41201383. The next prime is 41201401. The reversal of 41201400 is 410214.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41201401) 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, 33735 + ... + 34934.

Almost surely, 241201400 is an apocalyptic number.

41201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41201400 is an abundant number, since it is smaller than the sum of its proper divisors (86524800).

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

41201400 is a wasteful number, since it uses less digits than its factorization.

41201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68688 (or 68679 counting only the distinct ones).

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

The square root of 41201400 is about 6418.8316693928. The cubic root of 41201400 is about 345.3854125909.

Adding to 41201400 its reverse (410214), we get a palindrome (41611614).

The spelling of 41201400 in words is "forty-one million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 68669 137338 206007 274676 343345 412014 549352 686690 824028 1030035 1373380 1648056 1716725 2060070 2746760 3433450 4120140 5150175 6866900 8240280 10300350 13733800 20600700 41201400