Search a number
-
+
30020004240 = 2435294313219
BaseRepresentation
bin11011111101010101…
…001110100110010000
32212111010221020000220
4123331111032212100
5442440110113430
621442504513040
72111631553152
oct337525164620
985433836026
1030020004240
1111805567566
12599977b780
132aa557a425
14164ad74ad2
15baa77b110
hex6fd54e990

30020004240 has 80 divisors (see below), whose sum is σ = 96271070400. Its totient is φ = 7729286656.

The previous prime is 30020004233. The next prime is 30020004257. The reversal of 30020004240 is 4240002003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149650 + ... + 2163569.

It is an arithmetic number, because the mean of its divisors is an integer number (1203388380).

Almost surely, 230020004240 is an apocalyptic number.

30020004240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30020004240 is an abundant number, since it is smaller than the sum of its proper divisors (66251066160).

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

30020004240 is a wasteful number, since it uses less digits than its factorization.

30020004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313264 (or 4313258 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 30020004240 its reverse (4240002003), we get a palindrome (34260006243).

The spelling of 30020004240 in words is "thirty billion, twenty million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 4313219 8626438 12939657 17252876 21566095 25879314 34505752 43132190 51758628 64698285 69011504 86264380 103517256 125083351 129396570 172528760 207034512 250166702 258793140 345057520 375250053 500333404 517586280 625416755 750500106 1000666808 1035172560 1250833510 1501000212 1876250265 2001333616 2501667020 3002000424 3752500530 5003334040 6004000848 7505001060 10006668080 15010002120 30020004240