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4201427720 = 235756926371
BaseRepresentation
bin1111101001101100…
…1011001100001000
3101211210201122100002
43322123023030020
532101031141340
61532523102132
7206054355260
oct37233131410
911753648302
104201427720
111866661916
12993071948
1351c588809
142bbdc87a0
15198cb2715
hexfa6cb308

4201427720 has 64 divisors (see below), whose sum is σ = 10823068800. Its totient is φ = 1437903360.

The previous prime is 4201427689. The next prime is 4201427723. The reversal of 4201427720 is 277241024.

4201427720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4201427723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146135 + ... + 172505.

It is an arithmetic number, because the mean of its divisors is an integer number (169110450).

Almost surely, 24201427720 is an apocalyptic number.

4201427720 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 4201427720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411534400).

4201427720 is an abundant number, since it is smaller than the sum of its proper divisors (6621641080).

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

4201427720 is a wasteful number, since it uses less digits than its factorization.

4201427720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26958 (or 26954 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The square root of 4201427720 is about 64818.4211470782. The cubic root of 4201427720 is about 1613.6114447056.

Adding to 4201427720 its reverse (277241024), we get a palindrome (4478668744).

The spelling of 4201427720 in words is "four billion, two hundred one million, four hundred twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 569 1138 2276 2845 3983 4552 5690 7966 11380 15932 19915 22760 26371 31864 39830 52742 79660 105484 131855 159320 184597 210968 263710 369194 527420 738388 922985 1054840 1476776 1845970 3691940 7383880 15005099 30010198 60020396 75025495 105035693 120040792 150050990 210071386 300101980 420142772 525178465 600203960 840285544 1050356930 2100713860 4201427720