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1643705140 = 22571138821
BaseRepresentation
bin110000111111000…
…1111001100110100
311020112220212120011
41201332033030310
511331242031030
6431034150004
755506156160
oct14176171464
94215825504
101643705140
11773913000
1239a582304
132026c8bbc
1411842dca0
1599483b2a
hex61f8f334

1643705140 has 96 divisors (see below), whose sum is σ = 4339577088. Its totient is φ = 512265600.

The previous prime is 1643705113. The next prime is 1643705149. The reversal of 1643705140 is 415073461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1643705149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 181930 + ... + 190750.

It is an arithmetic number, because the mean of its divisors is an integer number (45203928).

Almost surely, 21643705140 is an apocalyptic number.

1643705140 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 1643705140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169788544).

1643705140 is an abundant number, since it is smaller than the sum of its proper divisors (2695871948).

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

1643705140 is a wasteful number, since it uses less digits than its factorization.

1643705140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 1643705140 is about 40542.6336095720. The cubic root of 1643705140 is about 1180.1611242205.

The spelling of 1643705140 in words is "one billion, six hundred forty-three million, seven hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1331 1540 1694 2420 2662 3388 4235 5324 6655 8470 8821 9317 13310 16940 17642 18634 26620 35284 37268 44105 46585 61747 88210 93170 97031 123494 176420 186340 194062 246988 308735 388124 485155 617470 679217 970310 1067341 1234940 1358434 1940620 2134682 2716868 3396085 4269364 5336705 6792170 7471387 10673410 11740751 13584340 14942774 21346820 23481502 29885548 37356935 46963004 58703755 74713870 82185257 117407510 149427740 164370514 234815020 328741028 410926285 821852570 1643705140