Search a number
-
+
161406580 = 22537218117
BaseRepresentation
bin10011001111011…
…01111001110100
3102020201022012111
421213231321310
5312310002310
624003300404
73666635056
oct1147557164
9366638174
10161406580
1183123175
124607a704
1327593a6a
14176178d6
15e28428a
hex99ede74

161406580 has 24 divisors (see below), whose sum is σ = 348116328. Its totient is φ = 62817408.

The previous prime is 161406529. The next prime is 161406587. The reversal of 161406580 is 85604161.

161406580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 95179536 + 66227044 = 9756^2 + 8138^2 .

It is a super-3 number, since 3×1614065803 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161406587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108319 + ... + 109798.

It is an arithmetic number, because the mean of its divisors is an integer number (14504847).

Almost surely, 2161406580 is an apocalyptic number.

161406580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161406580 is an abundant number, since it is smaller than the sum of its proper divisors (186709748).

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

161406580 is a wasteful number, since it uses less digits than its factorization.

161406580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218163 (or 218161 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 161406580 is about 12704.5889347117. The cubic root of 161406580 is about 544.4697364652.

It can be divided in two parts, 16 and 1406580, that added together give a square (1406596 = 11862).

The spelling of 161406580 in words is "one hundred sixty-one million, four hundred six thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 218117 436234 872468 1090585 2181170 4362340 8070329 16140658 32281316 40351645 80703290 161406580