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6130001360 = 245737329347
BaseRepresentation
bin1011011010110000…
…00110010111010000
3120211012200100000102
411231120012113100
5100023240020420
62452135111532
7304623103040
oct55530062720
916735610012
106130001360
11266625382a
121230b125a8
13768cb5052
144221ad720
1525d266a75
hex16d6065d0

6130001360 has 80 divisors (see below), whose sum is σ = 16332514176. Its totient is φ = 2096008704.

The previous prime is 6130001347. The next prime is 6130001393. The reversal of 6130001360 is 631000316.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194207 + ... + 223553.

Almost surely, 26130001360 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 6130001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8166257088).

6130001360 is an abundant number, since it is smaller than the sum of its proper divisors (10202512816).

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

6130001360 is a wasteful number, since it uses less digits than its factorization.

6130001360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29740 (or 29734 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 6130001360 is about 78294.3252094301. The cubic root of 6130001360 is about 1830.1507196675.

Adding to 6130001360 its reverse (631000316), we get a palindrome (6761001676).

The spelling of 6130001360 in words is "six billion, one hundred thirty million, one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 373 560 746 1492 1865 2611 2984 3730 5222 5968 7460 10444 13055 14920 20888 26110 29347 29840 41776 52220 58694 104440 117388 146735 205429 208880 234776 293470 410858 469552 586940 821716 1027145 1173880 1643432 2054290 2347760 3286864 4108580 8217160 10946431 16434320 21892862 43785724 54732155 76625017 87571448 109464310 153250034 175142896 218928620 306500068 383125085 437857240 613000136 766250170 875714480 1226000272 1532500340 3065000680 6130001360