Search a number
-
+
420712123230 = 2355724733223
BaseRepresentation
bin1100001111101000110…
…01011000101101011110
31111012221011002020200000
412013310121120231132
523343104300420410
6521134504515130
742252432020640
oct6076431305536
91435834066600
10420712123230
11152472031113
126965377baa6
133089970b469
1416510c9a890
15ae24e2ddc0
hex61f4658b5e

420712123230 has 96 divisors (see below), whose sum is σ = 1296416669184. Its totient is φ = 96162767136.

The previous prime is 420712123229. The next prime is 420712123243. The reversal of 420712123230 is 32321217024.

420712123230 is a `hidden beast` number, since 420 + 7 + 1 + 2 + 1 + 2 + 3 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 420712123194 and 420712123203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12349602 + ... + 12383621.

It is an arithmetic number, because the mean of its divisors is an integer number (13504340304).

Almost surely, 2420712123230 is an apocalyptic number.

420712123230 is an abundant number, since it is smaller than the sum of its proper divisors (875704545954).

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

420712123230 is a wasteful number, since it uses less digits than its factorization.

420712123230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24733252 (or 24733240 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 420712123230 in words is "four hundred twenty billion, seven hundred twelve million, one hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 810 945 1134 1215 1701 1890 2430 2835 3402 5670 8505 17010 24733223 49466446 74199669 123666115 148399338 173132561 222599007 247332230 346265122 370998345 445198014 519397683 667797021 741996690 865662805 1038795366 1112995035 1335594042 1558193049 1731325610 2003391063 2225990070 2596988415 3116386098 3338985105 4006782126 4674579147 5193976830 6010173189 6677970210 7790965245 9349158294 10016955315 12020346378 14023737441 15581930490 20033910630 23372895735 28047474882 30050865945 42071212323 46745791470 60101731890 70118687205 84142424646 140237374410 210356061615 420712123230