Search a number
-
+
4661215260 = 2235138371999
BaseRepresentation
bin1000101011101010…
…01000000000011100
3110000211220021021020
410111311020000130
534021232342020
62050310004140
7223336450602
oct42565100034
913024807236
104661215260
111a82153019
12aa1046650
13593901450
143230b3872
151c4335c40
hex115d4801c

4661215260 has 96 divisors (see below), whose sum is σ = 14224896000. Its totient is φ = 1133536512.

The previous prime is 4661215243. The next prime is 4661215289. The reversal of 4661215260 is 625121664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28741 + ... + 100739.

It is an arithmetic number, because the mean of its divisors is an integer number (148176000).

Almost surely, 24661215260 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 4661215260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112448000).

4661215260 is an abundant number, since it is smaller than the sum of its proper divisors (9563680740).

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

4661215260 is a wasteful number, since it uses less digits than its factorization.

4661215260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72107 (or 72105 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4661215260 is about 68273.0932359154. The cubic root of 4661215260 is about 1670.4483551207.

The spelling of 4661215260 in words is "four billion, six hundred sixty-one million, two hundred fifteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 83 130 156 166 195 249 260 332 390 415 498 780 830 996 1079 1245 1660 2158 2490 3237 4316 4980 5395 6474 10790 12948 16185 21580 32370 64740 71999 143998 215997 287996 359995 431994 719990 863988 935987 1079985 1439980 1871974 2159970 2807961 3743948 4319940 4679935 5615922 5975917 9359870 11231844 11951834 14039805 17927751 18719740 23903668 28079610 29879585 35855502 56159220 59759170 71711004 77686921 89638755 119518340 155373842 179277510 233060763 310747684 358555020 388434605 466121526 776869210 932243052 1165303815 1553738420 2330607630 4661215260