Search a number
-
+
5734200 = 2335219503
BaseRepresentation
bin10101110111111100111000
3101210022211210
4111313330320
52431443300
6322523120
766511533
oct25677470
911708753
105734200
11326720a
121b064a0
13125a024
14a93a1a
15784050
hex577f38

5734200 has 96 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 1445760.

The previous prime is 5734171. The next prime is 5734207. The reversal of 5734200 is 24375.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5734207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11149 + ... + 11651.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 25734200 is an apocalyptic number.

5734200 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 5734200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

5734200 is an abundant number, since it is smaller than the sum of its proper divisors (13014600).

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

5734200 is a wasteful number, since it uses less digits than its factorization.

5734200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 5734200 is about 2394.6189676022. The cubic root of 5734200 is about 178.9881498142.

Adding to 5734200 its reverse (24375), we get a palindrome (5758575).

The spelling of 5734200 in words is "five million, seven hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 503 570 600 760 950 1006 1140 1425 1509 1900 2012 2280 2515 2850 3018 3800 4024 5030 5700 6036 7545 9557 10060 11400 12072 12575 15090 19114 20120 25150 28671 30180 37725 38228 47785 50300 57342 60360 75450 76456 95570 100600 114684 143355 150900 191140 229368 238925 286710 301800 382280 477850 573420 716775 955700 1146840 1433550 1911400 2867100 5734200