Search a number
-
+
6072026900 = 2252797191069
BaseRepresentation
bin1011010011110101…
…11100011100010100
3120200011120221000012
411221322330130110
544413414330100
62442304335352
7303320243222
oct55172743424
916604527005
106072026900
112636556755
121215614558
13759c97034
144185dbb12
15258114135
hex169ebc714

6072026900 has 72 divisors (see below), whose sum is σ = 13374144000. Its totient is φ = 2392490880.

The previous prime is 6072026899. The next prime is 6072026929. The reversal of 6072026900 is 96202706.

It is a super-2 number, since 2×60720269002 = 73739021348647220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5679566 + ... + 5680634.

It is an arithmetic number, because the mean of its divisors is an integer number (185752000).

Almost surely, 26072026900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6072026900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687072000).

6072026900 is an abundant number, since it is smaller than the sum of its proper divisors (7302117100).

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

6072026900 is a wasteful number, since it uses less digits than its factorization.

6072026900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 6072026900 is about 77923.2115611260. The cubic root of 6072026900 is about 1824.3628876352.

The spelling of 6072026900 in words is "six billion, seventy-two million, twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 719 790 1069 1438 1580 1975 2138 2876 3595 3950 4276 5345 7190 7900 10690 14380 17975 21380 26725 35950 53450 56801 71900 84451 106900 113602 168902 227204 284005 337804 422255 568010 768611 844510 1136020 1420025 1537222 1689020 2111275 2840050 3074444 3843055 4222550 5680100 7686110 8445100 15372220 19215275 38430550 60720269 76861100 121440538 242881076 303601345 607202690 1214405380 1518006725 3036013450 6072026900