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161110260 = 223251575701
BaseRepresentation
bin10011001101001…
…01100011110100
3102020011020201200
421212211203310
5312221012020
623553052500
73664262133
oct1146454364
9366136650
10161110260
1182a40583
1245b57130
13274bbc1c
141757b91a
15e226590
hex99a58f4

161110260 has 72 divisors (see below), whose sum is σ = 491900136. Its totient is φ = 42681600.

The previous prime is 161110237. The next prime is 161110267. The reversal of 161110260 is 62011161.

161110260 is digitally balanced in base 2, 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 25341156 + 135769104 = 5034^2 + 11652^2 .

It is a super-3 number, since 3×1611102603 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161110267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25410 + ... + 31110.

Almost surely, 2161110260 is an apocalyptic number.

161110260 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 161110260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245950068).

161110260 is an abundant number, since it is smaller than the sum of its proper divisors (330789876).

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

161110260 is a wasteful number, since it uses less digits than its factorization.

161110260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 161110260 is about 12692.9216494864. The cubic root of 161110260 is about 544.1363421595.

Subtracting from 161110260 its reverse (62011161), we obtain a palindrome (99099099).

The spelling of 161110260 in words is "one hundred sixty-one million, one hundred ten thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 5701 7065 9420 11402 14130 17103 22804 28260 28505 34206 51309 57010 68412 85515 102618 114020 171030 205236 256545 342060 513090 895057 1026180 1790114 2685171 3580228 4475285 5370342 8055513 8950570 10740684 13425855 16111026 17901140 26851710 32222052 40277565 53703420 80555130 161110260