Search a number
-
+
4122432660 = 2235195961291
BaseRepresentation
bin1111010110110111…
…0101010010010100
3101122022002021111010
43311231311102110
531420320321120
61521022012220
7204105046053
oct36555652224
911568067433
104122432660
111826007745
12970717070
135090ba988
142b170439a
15191dab7e0
hexf5b75494

4122432660 has 96 divisors (see below), whose sum is σ = 12356467200. Its totient is φ = 1023788160.

The previous prime is 4122432653. The next prime is 4122432667. The reversal of 4122432660 is 662342214.

It is an interprime number because it is at equal distance from previous prime (4122432653) and next prime (4122432667).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122432667) 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, 36615 + ... + 97905.

It is an arithmetic number, because the mean of its divisors is an integer number (128713200).

Almost surely, 24122432660 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 4122432660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178233600).

4122432660 is an abundant number, since it is smaller than the sum of its proper divisors (8234034540).

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

4122432660 is a wasteful number, since it uses less digits than its factorization.

4122432660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61381 (or 61379 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4122432660 is about 64206.1730677043. The cubic root of 4122432660 is about 1603.4343754953.

Adding to 4122432660 its reverse (662342214), we get a palindrome (4784774874).

The spelling of 4122432660 in words is "four billion, one hundred twenty-two million, four hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 59 60 76 95 114 118 177 190 228 236 285 295 354 380 570 590 708 885 1121 1140 1180 1770 2242 3363 3540 4484 5605 6726 11210 13452 16815 22420 33630 61291 67260 122582 183873 245164 306455 367746 612910 735492 919365 1164529 1225820 1838730 2329058 3493587 3616169 3677460 4658116 5822645 6987174 7232338 10848507 11645290 13974348 14464676 17467935 18080845 21697014 23290580 34935870 36161690 43394028 54242535 68707211 69871740 72323380 108485070 137414422 206121633 216970140 274828844 343536055 412243266 687072110 824486532 1030608165 1374144220 2061216330 4122432660