Search a number
-
+
161257660 = 225311991307
BaseRepresentation
bin10011001110010…
…01100010111100
3102020102201220221
421213021202330
5312240221120
624000151124
73665444644
oct1147114274
9366381827
10161257660
11830312a3
12460084a4
1327541045
14175b9524
15e2550aa
hex99c98bc

161257660 has 48 divisors (see below), whose sum is σ = 351590400. Its totient is φ = 62061120.

The previous prime is 161257643. The next prime is 161257673. The reversal of 161257660 is 66752161.

It is a happy number.

161257660 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122727 + ... + 124033.

It is an arithmetic number, because the mean of its divisors is an integer number (7324800).

Almost surely, 2161257660 is an apocalyptic number.

161257660 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 161257660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175795200).

161257660 is an abundant number, since it is smaller than the sum of its proper divisors (190332740).

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

161257660 is a wasteful number, since it uses less digits than its factorization.

161257660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 161257660 is about 12698.7267078239. The cubic root of 161257660 is about 544.3022352755.

The spelling of 161257660 in words is "one hundred sixty-one million, two hundred fifty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 199 310 398 620 796 995 1307 1990 2614 3980 5228 6169 6535 12338 13070 24676 26140 30845 40517 61690 81034 123380 162068 202585 260093 405170 520186 810340 1040372 1300465 2600930 5201860 8062883 16125766 32251532 40314415 80628830 161257660