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4120400 = 245210301
BaseRepresentation
bin1111101101111101010000
321202100010102
433231331100
52023323100
6224151532
750010554
oct17557520
97670112
104120400
112364799
1214685a8
13b1360b
14793864
15565cd5
hex3edf50

4120400 has 30 divisors (see below), whose sum is σ = 9900222. Its totient is φ = 1648000.

The previous prime is 4120393. The next prime is 4120411. The reversal of 4120400 is 40214.

It can be written as a sum of positive squares in 3 ways, for example, as 1106704 + 3013696 = 1052^2 + 1736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4751 + ... + 5550.

Almost surely, 24120400 is an apocalyptic number.

4120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120400 is an abundant number, since it is smaller than the sum of its proper divisors (5779822).

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

4120400 is a wasteful number, since it uses less digits than its factorization.

4120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10319 (or 10308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4120400 is about 2029.8768435548. The cubic root of 4120400 is about 160.3170795467.

Adding to 4120400 its reverse (40214), we get a palindrome (4160614).

The spelling of 4120400 in words is "four million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 10301 20602 41204 51505 82408 103010 164816 206020 257525 412040 515050 824080 1030100 2060200 4120400