Search a number
-
+
2604261330 = 2325113184857
BaseRepresentation
bin1001101100111001…
…1101111111010010
320201111101011221100
42123032131333102
520313142330310
61110230205230
7121351566426
oct23316357722
96644334840
102604261330
1111170460a0
126081b3816
13326705748
141a9c30b86
15103972ec0
hex9b39dfd2

2604261330 has 96 divisors (see below), whose sum is σ = 7625000448. Its totient is φ = 610963200.

The previous prime is 2604261323. The next prime is 2604261347. The reversal of 2604261330 is 331624062.

2604261330 is a `hidden beast` number, since 2 + 6 + 0 + 42 + 613 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2604261294 and 2604261303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11739 + ... + 73118.

It is an arithmetic number, because the mean of its divisors is an integer number (79427088).

Almost surely, 22604261330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604261330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812500224).

2604261330 is an abundant number, since it is smaller than the sum of its proper divisors (5020739118).

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

2604261330 is a wasteful number, since it uses less digits than its factorization.

2604261330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84912 (or 84909 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2604261330 is about 51031.9638070102. The cubic root of 2604261330 is about 1375.8196906476.

Adding to 2604261330 its reverse (331624062), we get a palindrome (2935885392).

The spelling of 2604261330 in words is "two billion, six hundred four million, two hundred sixty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 990 1023 1395 1705 2046 2790 3069 3410 5115 6138 10230 15345 30690 84857 169714 254571 424285 509142 763713 848570 933427 1272855 1527426 1866854 2545710 2630567 2800281 3818565 4667135 5261134 5600562 7637130 7891701 8400843 9334270 13152835 14001405 15783402 16801686 23675103 26305670 28002810 28936237 39458505 42004215 47350206 57872474 78917010 84008430 86808711 118375515 144681185 173617422 236751030 260426133 289362370 434043555 520852266 868087110 1302130665 2604261330