Search a number
-
+
6130763360 = 255319531297
BaseRepresentation
bin1011011010110110…
…00000011001100000
3120211021010001021122
411231123000121200
5100023433411420
62452203311412
7304632425441
oct55533003140
916737101248
106130763360
112666724287
12123121b568
137691c0b37
1442232b2c8
1525d367725
hex16d6c0660

6130763360 has 96 divisors (see below), whose sum is σ = 14978380032. Its totient is φ = 2368880640.

The previous prime is 6130763341. The next prime is 6130763369. The reversal of 6130763360 is 633670316.

It is a self number, because there is not a number n which added to its sum of digits gives 6130763360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6130763369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4726232 + ... + 4727528.

It is an arithmetic number, because the mean of its divisors is an integer number (156024792).

Almost surely, 26130763360 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 6130763360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489190016).

6130763360 is an abundant number, since it is smaller than the sum of its proper divisors (8847616672).

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

6130763360 is a wasteful number, since it uses less digits than its factorization.

6130763360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 35.

The square root of 6130763360 is about 78299.1913112773. The cubic root of 6130763360 is about 1830.2265498338.

The spelling of 6130763360 in words is "six billion, one hundred thirty million, seven hundred sixty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 953 992 1240 1297 1906 2480 2594 3812 4765 4960 5188 6485 7624 9530 10376 12970 15248 19060 20752 25940 29543 30496 38120 40207 41504 51880 59086 76240 80414 103760 118172 147715 152480 160828 201035 207520 236344 295430 321656 402070 472688 590860 643312 804140 945376 1181720 1236041 1286624 1608280 2363440 2472082 3216560 4726880 4944164 6180205 6433120 9888328 12360410 19776656 24720820 38317271 39553312 49441640 76634542 98883280 153269084 191586355 197766560 306538168 383172710 613076336 766345420 1226152672 1532690840 3065381680 6130763360