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4130003020 = 22511131976003
BaseRepresentation
bin1111011000101010…
…1101100001001100
3101122211022220001211
43312022231201030
531424240044040
61521452144204
7204226306063
oct36612554114
911584286054
104130003020
11182a308440
12973168064
1350a83b690
142b27151da
151928a48ea
hexf62ad84c

4130003020 has 96 divisors (see below), whose sum is σ = 10725684480. Its totient is φ = 1313314560.

The previous prime is 4130002997. The next prime is 4130003029. The reversal of 4130003020 is 203000314.

4130003020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (4130003029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16339 + ... + 92341.

It is an arithmetic number, because the mean of its divisors is an integer number (111725880).

Almost surely, 24130003020 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 4130003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362842240).

4130003020 is an abundant number, since it is smaller than the sum of its proper divisors (6595681460).

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

4130003020 is a wasteful number, since it uses less digits than its factorization.

4130003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76055 (or 76053 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 4130003020 is about 64265.0995486664. The cubic root of 4130003020 is about 1604.4152811625.

Adding to 4130003020 its reverse (203000314), we get a palindrome (4333003334).

The spelling of 4130003020 in words is "four billion, one hundred thirty million, three thousand, twenty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 130 143 190 209 220 247 260 286 380 418 494 572 715 836 988 1045 1235 1430 2090 2470 2717 2860 4180 4940 5434 10868 13585 27170 54340 76003 152006 304012 380015 760030 836033 988039 1444057 1520060 1672066 1976078 2888114 3344132 3952156 4180165 4940195 5776228 7220285 8360330 9880390 10868429 14440570 15884627 16720660 18772741 19760780 21736858 28881140 31769254 37545482 43473716 54342145 63538508 75090964 79423135 93863705 108684290 158846270 187727410 206500151 217368580 317692540 375454820 413000302 826000604 1032500755 2065001510 4130003020