Search a number
-
+
4166620160 = 21054211933
BaseRepresentation
bin1111100001011001…
…1001010000000000
3101202101020020100012
43320112121100000
532013123321120
61525241044052
7205152454433
oct37026312000
911671206305
104166620160
111848a4843a
12983486628
135152bc521
142b752781a
15195bd91c5
hexf8599400

4166620160 has 88 divisors (see below), whose sum is σ = 10023929736. Its totient is φ = 1661829120.

The previous prime is 4166620147. The next prime is 4166620163. The reversal of 4166620160 is 610266614.

It can be written as a sum of positive squares in 4 ways, for example, as 13075456 + 4153544704 = 3616^2 + 64448^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166620163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2154554 + ... + 2156486.

Almost surely, 24166620160 is an apocalyptic number.

4166620160 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 4166620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011964868).

4166620160 is an abundant number, since it is smaller than the sum of its proper divisors (5857309576).

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

4166620160 is a wasteful number, since it uses less digits than its factorization.

4166620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 4166620160 is about 64549.3621966941. The cubic root of 4166620160 is about 1609.1429874280.

Adding to 4166620160 its reverse (610266614), we get a palindrome (4776886774).

The spelling of 4166620160 in words is "four billion, one hundred sixty-six million, six hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 421 512 640 842 1024 1280 1684 1933 2105 2560 3368 3866 4210 5120 6736 7732 8420 9665 13472 15464 16840 19330 26944 30928 33680 38660 53888 61856 67360 77320 107776 123712 134720 154640 215552 247424 269440 309280 431104 494848 538880 618560 813793 989696 1077760 1237120 1627586 1979392 2155520 2474240 3255172 4068965 4948480 6510344 8137930 9896960 13020688 16275860 26041376 32551720 52082752 65103440 104165504 130206880 208331008 260413760 416662016 520827520 833324032 1041655040 2083310080 4166620160