Search a number
-
+
5371400 = 2352107251
BaseRepresentation
bin10100011111011000001000
3101002220011202
4110133120020
52333341100
6311043332
763441026
oct24373010
911086152
105371400
113039681
121970548
131160b58
149db716
157117d5
hex51f608

5371400 has 48 divisors (see below), whose sum is σ = 12655440. Its totient is φ = 2120000.

The previous prime is 5371367. The next prime is 5371403. The reversal of 5371400 is 41735.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5371403) 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, 21275 + ... + 21525.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

Almost surely, 25371400 is an apocalyptic number.

5371400 is a gapful number since it is divisible by the number (50) 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 5371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327720).

5371400 is an abundant number, since it is smaller than the sum of its proper divisors (7284040).

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

5371400 is a wasteful number, since it uses less digits than its factorization.

5371400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 5371400 is about 2317.6280978621. The cubic root of 5371400 is about 175.1307865858.

The spelling of 5371400 in words is "five million, three hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 251 428 502 535 856 1004 1070 1255 2008 2140 2510 2675 4280 5020 5350 6275 10040 10700 12550 21400 25100 26857 50200 53714 107428 134285 214856 268570 537140 671425 1074280 1342850 2685700 5371400