Search a number
-
+
610363104 = 253132172213
BaseRepresentation
bin100100011000010…
…110011011100000
31120112111122202220
4210120112123200
52222223104404
6140322111040
721061000161
oct4430263340
91515448686
10610363104
1129359691a
121504ab480
13995b6800
145b0c3768
15388b84d9
hex246166e0

610363104 has 144 divisors (see below), whose sum is σ = 1837814832. Its totient is φ = 176676864.

The previous prime is 610363097. The next prime is 610363111. The reversal of 610363104 is 401363016.

It is an interprime number because it is at equal distance from previous prime (610363097) and next prime (610363111).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 274702 + ... + 276914.

It is an arithmetic number, because the mean of its divisors is an integer number (12762603).

Almost surely, 2610363104 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 610363104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918907416).

610363104 is an abundant number, since it is smaller than the sum of its proper divisors (1227451728).

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

610363104 is a wasteful number, since it uses less digits than its factorization.

610363104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 610363104 is about 24705.5278024980. The cubic root of 610363104 is about 848.2608518745.

The spelling of 610363104 in words is "six hundred ten million, three hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 169 204 208 221 272 312 338 408 416 442 507 544 624 663 676 816 884 1014 1248 1326 1352 1632 1768 2028 2213 2652 2704 2873 3536 4056 4426 5304 5408 5746 6639 7072 8112 8619 8852 10608 11492 13278 16224 17238 17704 21216 22984 26556 28769 34476 35408 37621 45968 53112 57538 68952 70816 75242 86307 91936 106224 112863 115076 137904 150484 172614 212448 225726 230152 275808 300968 345228 373997 451452 460304 489073 601936 690456 747994 902904 920608 978146 1121991 1203872 1380912 1467219 1495988 1805808 1956292 2243982 2761824 2934438 2991976 3611616 3912584 4487964 5868876 5983952 6357949 7825168 8975928 11737752 11967904 12715898 15650336 17951856 19073847 23475504 25431796 35903712 38147694 46951008 50863592 76295388 101727184 152590776 203454368 305181552 610363104