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4121400 = 233526869
BaseRepresentation
bin1111101110001100111000
321202101111110
433232030320
52023341100
6224200320
750013513
oct17561470
97671443
104121400
112365518
1214690a0
13b13bca
14793d7a
15566250
hex3ee338

4121400 has 48 divisors (see below), whose sum is σ = 12778200. Its totient is φ = 1098880.

The previous prime is 4121387. The next prime is 4121401. The reversal of 4121400 is 41214.

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 (4121401) by changing a digit.

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, 2835 + ... + 4034.

Almost surely, 24121400 is an apocalyptic number.

4121400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121400 is an abundant number, since it is smaller than the sum of its proper divisors (8656800).

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

4121400 is a wasteful number, since it uses less digits than its factorization.

4121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6879 counting only the distinct ones).

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

The square root of 4121400 is about 2030.1231489740. The cubic root of 4121400 is about 160.3300478760.

Adding to 4121400 its reverse (41214), we get a palindrome (4162614).

Multiplying 4121400 by its reverse (41214), we get a square (169859379600 = 4121402).

4121400 divided by its reverse (41214) gives a square (100 = 102).

The spelling of 4121400 in words is "four million, one hundred twenty-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 6869 13738 20607 27476 34345 41214 54952 68690 82428 103035 137380 164856 171725 206070 274760 343450 412140 515175 686900 824280 1030350 1373800 2060700 4121400