Search a number
-
+
5571400 = 235289313
BaseRepresentation
bin10101010000001101001000
3101111001112011
4111100031020
52411241100
6315225304
765233102
oct25201510
911431464
105571400
11316596a
121a48234
131200bb3
14a50572
15750bba
hex550348

5571400 has 48 divisors (see below), whose sum is σ = 13140900. Its totient is φ = 2196480.

The previous prime is 5571353. The next prime is 5571407. The reversal of 5571400 is 41755.

It can be written as a sum of positive squares in 6 ways, for example, as 86436 + 5484964 = 294^2 + 2342^2 .

It is not an unprimeable number, because it can be changed into a prime (5571407) 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, 17644 + ... + 17956.

Almost surely, 25571400 is an apocalyptic number.

5571400 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 5571400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570450).

5571400 is an abundant number, since it is smaller than the sum of its proper divisors (7569500).

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

5571400 is a wasteful number, since it uses less digits than its factorization.

5571400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 5571400 is about 2360.3813251252. The cubic root of 5571400 is about 177.2779740642.

The spelling of 5571400 in words is "five million, five hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 313 356 445 626 712 890 1252 1565 1780 2225 2504 3130 3560 4450 6260 7825 8900 12520 15650 17800 27857 31300 55714 62600 111428 139285 222856 278570 557140 696425 1114280 1392850 2785700 5571400