Search a number
-
+
2616413260 = 2254314292129
BaseRepresentation
bin1001101111110011…
…0100110001001100
320202100020120020211
42123330310301030
520324300211020
61111342452204
7121560100666
oct23374646114
96670216224
102616413260
11112299600a
12610294064
1332909b936
141ab6b5536
15104a7385a
hex9bf34c4c

2616413260 has 48 divisors (see below), whose sum is σ = 5628823200. Its totient is φ = 1021031424.

The previous prime is 2616413257. The next prime is 2616413269. The reversal of 2616413260 is 623146162.

It is not an unprimeable number, because it can be changed into a prime (2616413269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227876 + ... + 1230004.

It is an arithmetic number, because the mean of its divisors is an integer number (117267150).

Almost surely, 22616413260 is an apocalyptic number.

2616413260 is a gapful number since it is divisible by the number (20) 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 2616413260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814411600).

2616413260 is an abundant number, since it is smaller than the sum of its proper divisors (3012409940).

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

2616413260 is a wasteful number, since it uses less digits than its factorization.

2616413260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 2616413260 is about 51150.8871868319. The cubic root of 2616413260 is about 1377.9563076888.

The spelling of 2616413260 in words is "two billion, six hundred sixteen million, four hundred thirteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1429 2129 2858 4258 5716 7145 8516 10645 14290 21290 28580 42580 61447 91547 122894 183094 245788 307235 366188 457735 614470 915470 1228940 1830940 3042341 6084682 12169364 15211705 30423410 60846820 130820663 261641326 523282652 654103315 1308206630 2616413260