Search a number
-
+
4207115120 = 2451317237959
BaseRepresentation
bin1111101011000011…
…0111101101110000
3101212012102120222112
43322300313231300
532104010140440
61533245024452
7206153613515
oct37260675560
911765376875
104207115120
11186989694a
12994b55128
135207ca440
142bca6930c
15199537965
hexfac37b70

4207115120 has 80 divisors (see below), whose sum is σ = 11153661120. Its totient is φ = 1462013952.

The previous prime is 4207115119. The next prime is 4207115123. The reversal of 4207115120 is 215117024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×42071151202 = 35399635265865228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4207115123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101300 + ... + 136659.

It is an arithmetic number, because the mean of its divisors is an integer number (139420764).

Almost surely, 24207115120 is an apocalyptic number.

4207115120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4207115120 is an abundant number, since it is smaller than the sum of its proper divisors (6946546000).

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

4207115120 is a wasteful number, since it uses less digits than its factorization.

4207115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238002 (or 237996 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 4207115120 is about 64862.2780975198. The cubic root of 4207115120 is about 1614.3392223741.

The spelling of 4207115120 in words is "four billion, two hundred seven million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 17680 237959 475918 951836 1189795 1903672 2379590 3093467 3807344 4045303 4759180 6186934 8090606 9518360 12373868 15467335 16181212 19036720 20226515 24747736 30934670 32362424 40453030 49495472 52588939 61869340 64724848 80906060 105177878 123738680 161812120 210355756 247477360 262944695 323624240 420711512 525889390 841423024 1051778780 2103557560 4207115120