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4113400 = 2352131157
BaseRepresentation
bin1111101100001111111000
321201222112011
433230033320
52023112100
6224055304
746651264
oct17541770
97658464
104113400
11235a505
121464534
13b10385
147910a4
15563bba
hex3ec3f8

4113400 has 48 divisors (see below), whose sum is σ = 9698040. Its totient is φ = 1622400.

The previous prime is 4113379. The next prime is 4113419. The reversal of 4113400 is 43114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26122 + ... + 26278.

Almost surely, 24113400 is an apocalyptic number.

4113400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849020).

4113400 is an abundant number, since it is smaller than the sum of its proper divisors (5584640).

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

4113400 is a wasteful number, since it uses less digits than its factorization.

4113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4113400 is about 2028.1518680809. The cubic root of 4113400 is about 160.2262424390.

Adding to 4113400 its reverse (43114), we get a palindrome (4156514).

The spelling of 4113400 in words is "four million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 157 200 262 314 524 628 655 785 1048 1256 1310 1570 2620 3140 3275 3925 5240 6280 6550 7850 13100 15700 20567 26200 31400 41134 82268 102835 164536 205670 411340 514175 822680 1028350 2056700 4113400