Search a number
-
+
9820019832 = 2337223363059
BaseRepresentation
bin10010010010101000…
…11001110001111000
3221100101002200202020
421021110121301320
5130102411113312
64302233034440
7465230535300
oct111124316170
927311080666
109820019832
11418a166277
121aa0855a20
13c0662262c
146922b2600
153c71aa78c
hex249519c78

9820019832 has 96 divisors (see below), whose sum is σ = 29799964800. Its totient is φ = 2683724736.

The previous prime is 9820019827. The next prime is 9820019837. The reversal of 9820019832 is 2389100289.

It is an interprime number because it is at equal distance from previous prime (9820019827) and next prime (9820019837).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9820019837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154482 + ... + 208577.

It is an arithmetic number, because the mean of its divisors is an integer number (310416300).

Almost surely, 29820019832 is an apocalyptic number.

9820019832 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

9820019832 is an abundant number, since it is smaller than the sum of its proper divisors (19979944968).

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

9820019832 is a wasteful number, since it uses less digits than its factorization.

9820019832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363105 (or 363094 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 9820019832 is about 99096.0131993210. The cubic root of 9820019832 is about 2141.4311787898.

The spelling of 9820019832 in words is "nine billion, eight hundred twenty million, nineteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 84 92 98 138 147 161 168 184 196 276 294 322 392 483 552 588 644 966 1127 1176 1288 1932 2254 3381 3864 4508 6762 9016 13524 27048 363059 726118 1089177 1452236 2178354 2541413 2904472 4356708 5082826 7624239 8350357 8713416 10165652 15248478 16700714 17789891 20331304 25051071 30496956 33401428 35579782 50102142 53369673 58452499 60993912 66802856 71159564 100204284 106739346 116904998 142319128 175357497 200408568 213478692 233809996 350714994 409167493 426957384 467619992 701429988 818334986 1227502479 1402859976 1636669972 2455004958 3273339944 4910009916 9820019832