Search a number
-
+
160730406100 = 2252111171124781
BaseRepresentation
bin1001010110110001000…
…1110101110011010100
3120100212120121121210201
42111230101311303110
510113133440443400
6201501042230244
714420022624025
oct2255421656324
9510776547721
10160730406100
1162190140070
1227198355384
1312206693a94
147aca924c4c
1542aab6906a
hex256c475cd4

160730406100 has 72 divisors (see below), whose sum is σ = 380820688416. Its totient is φ = 58397040000.

The previous prime is 160730406071. The next prime is 160730406139. The reversal of 160730406100 is 1604037061.

160730406100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1225710 + ... + 1350490.

It is an arithmetic number, because the mean of its divisors is an integer number (5289176228).

Almost surely, 2160730406100 is an apocalyptic number.

160730406100 is a gapful number since it is divisible by the number (10) 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 160730406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190410344208).

160730406100 is an abundant number, since it is smaller than the sum of its proper divisors (220090282316).

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

160730406100 is a wasteful number, since it uses less digits than its factorization.

160730406100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125977 (or 125970 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 160730406100 in words is "one hundred sixty billion, seven hundred thirty million, four hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1171 2342 4684 5855 11710 12881 23420 25762 29275 51524 58550 64405 117100 124781 128810 249562 257620 322025 499124 623905 644050 1247810 1288100 1372591 2495620 2745182 3119525 5490364 6239050 6862955 12478100 13725910 27451820 34314775 68629550 137259100 146118551 292237102 584474204 730592755 1461185510 1607304061 2922371020 3214608122 3652963775 6429216244 7305927550 8036520305 14611855100 16073040610 32146081220 40182601525 80365203050 160730406100