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1820131620 = 223539317717
BaseRepresentation
bin110110001111101…
…0000000100100100
311200211220021012020
41230133100010210
512211423202440
6500335423140
763050602116
oct15437200444
94624807166
101820131620
1185446490a
12429684ab0
1323011b378
14133a373b6
15a9bd33d0
hex6c7d0124

1820131620 has 48 divisors (see below), whose sum is σ = 5098325568. Its totient is φ = 485182080.

The previous prime is 1820131609. The next prime is 1820131631. The reversal of 1820131620 is 261310281.

It is an interprime number because it is at equal distance from previous prime (1820131609) and next prime (1820131631).

It is a super-2 number, since 2×18201316202 = 6625758228247648800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232002 + ... + 239718.

It is an arithmetic number, because the mean of its divisors is an integer number (106215116).

Almost surely, 21820131620 is an apocalyptic number.

1820131620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820131620 is an abundant number, since it is smaller than the sum of its proper divisors (3278193948).

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

1820131620 is a wasteful number, since it uses less digits than its factorization.

1820131620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11660 (or 11658 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1820131620 is about 42663.0005977076. Note that the first 3 decimals coincide. The cubic root of 1820131620 is about 1220.9585810327.

The spelling of 1820131620 in words is "one billion, eight hundred twenty million, one hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3931 7717 7862 11793 15434 15724 19655 23151 23586 30868 38585 39310 46302 47172 58965 77170 78620 92604 115755 117930 154340 231510 235860 463020 30335527 60671054 91006581 121342108 151677635 182013162 303355270 364026324 455032905 606710540 910065810 1820131620