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40104400 = 2452714323
BaseRepresentation
bin1001100011111…
…1000111010000
32210110111220011
42120333013100
540231320100
63551324304
7664611310
oct230770720
983414804
1040104400
1120702036
1211520694
13840221b
14547d440
1537c2bba
hex263f1d0

40104400 has 60 divisors (see below), whose sum is σ = 110122912. Its totient is φ = 13749120.

The previous prime is 40104397. The next prime is 40104431. The reversal of 40104400 is 440104.

It is a happy number.

40104400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4362 + ... + 9961.

Almost surely, 240104400 is an apocalyptic number.

40104400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40104400 is an abundant number, since it is smaller than the sum of its proper divisors (70018512).

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

40104400 is a wasteful number, since it uses less digits than its factorization.

40104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14348 (or 14337 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 40104400 is about 6332.8034866084. The cubic root of 40104400 is about 342.2924666686.

Adding to 40104400 its reverse (440104), we get a palindrome (40544504).

It can be divided in two parts, 40104 and 400, that added together give a palindrome (40504).

The spelling of 40104400 in words is "forty million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 14323 28646 57292 71615 100261 114584 143230 200522 229168 286460 358075 401044 501305 572920 716150 802088 1002610 1145840 1432300 1604176 2005220 2506525 2864600 4010440 5013050 5729200 8020880 10026100 20052200 40104400