Search a number
-
+
5672260600 = 235273443877
BaseRepresentation
bin1010100100001011…
…11101001111111000
3112122022100200201221
411102011331033320
543104044314400
62334504121424
7260364263626
oct52205751770
915568320657
105672260600
112450930386
121123766274
136c5207c26
143bb498516
15232e99c1a
hex15217d3f8

5672260600 has 96 divisors (see below), whose sum is σ = 13414119120. Its totient is φ = 2230225920.

The previous prime is 5672260523. The next prime is 5672260603. The reversal of 5672260600 is 60622765.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5672260603) 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, 6467362 + ... + 6468238.

Almost surely, 25672260600 is an apocalyptic number.

5672260600 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 5672260600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707059560).

5672260600 is an abundant number, since it is smaller than the sum of its proper divisors (7741858520).

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

5672260600 is a wasteful number, since it uses less digits than its factorization.

5672260600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 5672260600 is about 75314.4116354898. The cubic root of 5672260600 is about 1783.4135354697.

The spelling of 5672260600 in words is "five billion, six hundred seventy-two million, two hundred sixty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 443 584 730 877 886 1460 1754 1772 1825 2215 2920 3508 3544 3650 4385 4430 7016 7300 8770 8860 11075 14600 17540 17720 21925 22150 32339 35080 43850 44300 64021 64678 87700 88600 128042 129356 161695 175400 256084 258712 320105 323390 388511 512168 640210 646780 777022 808475 1280420 1293560 1554044 1600525 1616950 1942555 2560840 3108088 3201050 3233900 3885110 6402100 6467800 7770220 9712775 12804200 15540440 19425550 28361303 38851100 56722606 77702200 113445212 141806515 226890424 283613030 567226060 709032575 1134452120 1418065150 2836130300 5672260600