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5312005620 = 22353126310859
BaseRepresentation
bin1001111001001111…
…01100010111110100
3111201012110211210220
410330213230113310
541334333134440
62235034414340
7245431205565
oct47447542764
914635424726
105312005620
112286541499
121042b913b0
136686a10bc
143856bc16c
152115378d0
hex13c9ec5f4

5312005620 has 96 divisors (see below), whose sum is σ = 15413207040. Its totient is φ = 1365502080.

The previous prime is 5312005571. The next prime is 5312005627. The reversal of 5312005620 is 265002135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312005627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483751 + ... + 494609.

It is an arithmetic number, because the mean of its divisors is an integer number (160554240).

Almost surely, 25312005620 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 5312005620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706603520).

5312005620 is an abundant number, since it is smaller than the sum of its proper divisors (10101201420).

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

5312005620 is a wasteful number, since it uses less digits than its factorization.

5312005620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11165 (or 11163 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5312005620 is about 72883.5071878405. The cubic root of 5312005620 is about 1744.8288839140.

Adding to 5312005620 its reverse (265002135), we get a palindrome (5577007755).

The spelling of 5312005620 in words is "five billion, three hundred twelve million, five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 263 310 372 465 526 620 789 930 1052 1315 1578 1860 2630 3156 3945 5260 7890 8153 10859 15780 16306 21718 24459 32577 32612 40765 43436 48918 54295 65154 81530 97836 108590 122295 130308 162885 163060 217180 244590 325770 336629 489180 651540 673258 1009887 1346516 1683145 2019774 2855917 3366290 4039548 5049435 5711834 6732580 8567751 10098870 11423668 14279585 17135502 20197740 28559170 34271004 42838755 57118340 85677510 88533427 171355020 177066854 265600281 354133708 442667135 531200562 885334270 1062401124 1328001405 1770668540 2656002810 5312005620