Search a number
-
+
4660420600 = 2352113835531
BaseRepresentation
bin1000101011100100…
…00101111111111000
3110000210101220012101
410111302011333320
534021031424400
62050240553144
7223326631033
oct42562057770
913023356171
104660420600
111a8175aa80
12aa09227b4
135936b3834
14322d4801a
151c422a56a
hex115c85ff8

4660420600 has 96 divisors (see below), whose sum is σ = 11853527040. Its totient is φ = 1689968000.

The previous prime is 4660420591. The next prime is 4660420603. The reversal of 4660420600 is 60240664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4660420603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839835 + ... + 845365.

It is an arithmetic number, because the mean of its divisors is an integer number (123474240).

Almost surely, 24660420600 is an apocalyptic number.

4660420600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4660420600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926763520).

4660420600 is an abundant number, since it is smaller than the sum of its proper divisors (7193106440).

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

4660420600 is a wasteful number, since it uses less digits than its factorization.

4660420600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4660420600 is about 68267.2732720445. The cubic root of 4660420600 is about 1670.3534217997.

The spelling of 4660420600 in words is "four billion, six hundred sixty million, four hundred twenty thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 383 440 550 766 1100 1532 1915 2200 3064 3830 4213 5531 7660 8426 9575 11062 15320 16852 19150 21065 22124 27655 33704 38300 42130 44248 55310 60841 76600 84260 105325 110620 121682 138275 168520 210650 221240 243364 276550 304205 421300 486728 553100 608410 842600 1106200 1216820 1521025 2118373 2433640 3042050 4236746 6084100 8473492 10591865 12168200 16946984 21183730 23302103 42367460 46604206 52959325 84734920 93208412 105918650 116510515 186416824 211837300 233021030 423674600 466042060 582552575 932084120 1165105150 2330210300 4660420600