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1530827620 = 225725329473
BaseRepresentation
bin101101100111110…
…1001001101100100
310221200112002201021
41123033221031210
511113342440440
6411522540524
752635551200
oct13317511544
93850462637
101530827620
117161264a3
12368807744
131b51c6b7a
14107449b00
158e5d884a
hex5b3e9364

1530827620 has 72 divisors (see below), whose sum is σ = 3810280824. Its totient is φ = 514934784.

The previous prime is 1530827579. The next prime is 1530827651. The reversal of 1530827620 is 267280351.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 131469156 + 1399358464 = 11466^2 + 37408^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37204 + ... + 66676.

It is an arithmetic number, because the mean of its divisors is an integer number (52920567).

Almost surely, 21530827620 is an apocalyptic number.

1530827620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530827620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905140412).

1530827620 is an abundant number, since it is smaller than the sum of its proper divisors (2279453204).

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

1530827620 is a wasteful number, since it uses less digits than its factorization.

1530827620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29549 (or 29540 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1530827620 is about 39125.7922603492. The cubic root of 1530827620 is about 1152.5030847065.

The spelling of 1530827620 in words is "one billion, five hundred thirty million, eight hundred twenty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1855 2597 3710 5194 7420 10388 12985 25970 29473 51940 58946 117892 147365 206311 294730 412622 589460 825244 1031555 1444177 1562069 2063110 2888354 3124138 4126220 5776708 6248276 7220885 7810345 10934483 14441770 15620690 21868966 28883540 31241380 43737932 54672415 76541381 109344830 153082762 218689660 306165524 382706905 765413810 1530827620