[go: up one dir, main page]

Search a number
-
+
5343100 = 2252717449
BaseRepresentation
bin10100011000011101111100
3101001110100121
4110120131330
52331434400
6310304324
763262360
oct24303574
911043317
105343100
11301a394
1219580a4
131150cc9
149d12a0
1570821a
hex51877c

5343100 has 72 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1720320.

The previous prime is 5343073. The next prime is 5343103. The reversal of 5343100 is 13435.

It is a super-2 number, since 2×53431002 = 57097435220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5343103) 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, 11676 + ... + 12124.

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

Almost surely, 25343100 is an apocalyptic number.

5343100 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 5343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

5343100 is an abundant number, since it is smaller than the sum of its proper divisors (8718500).

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

5343100 is a wasteful number, since it uses less digits than its factorization.

5343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 5343100 is about 2311.5146549395. The cubic root of 5343100 is about 174.8226775278.

Adding to 5343100 its reverse (13435), we get a palindrome (5356535).

The spelling of 5343100 in words is "five million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 449 476 595 700 850 898 1190 1700 1796 2245 2380 2975 3143 4490 5950 6286 7633 8980 11225 11900 12572 15266 15715 22450 30532 31430 38165 44900 53431 62860 76330 78575 106862 152660 157150 190825 213724 267155 314300 381650 534310 763300 1068620 1335775 2671550 5343100