Search a number
-
+
161136540 = 22345175851
BaseRepresentation
bin10011001101010…
…11111110011100
3102020012120210000
421212223332130
5312222332130
623553414300
73664431555
oct1146537634
9366176700
10161136540
1182a592a4
1245b6a390
13274cab86
141758732c
15e22e260
hex99abf9c

161136540 has 120 divisors (see below), whose sum is σ = 535317552. Its totient is φ = 40435200.

The previous prime is 161136533. The next prime is 161136571. The reversal of 161136540 is 45631161.

161136540 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 3 + 654 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 24615 + ... + 30465.

Almost surely, 2161136540 is an apocalyptic number.

161136540 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 161136540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267658776).

161136540 is an abundant number, since it is smaller than the sum of its proper divisors (374181012).

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

161136540 is a wasteful number, since it uses less digits than its factorization.

161136540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 161136540 is about 12693.9568299250. The cubic root of 161136540 is about 544.1659267136.

The spelling of 161136540 in words is "one hundred sixty-one million, one hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 5851 6885 9180 11702 13770 17553 23404 27540 29255 35106 52659 58510 70212 87765 99467 105318 117020 157977 175530 198934 210636 263295 298401 315954 351060 397868 473931 497335 526590 596802 631908 789885 895203 947862 994670 1053180 1193604 1492005 1579770 1790406 1895724 1989340 2369655 2685609 2984010 3159540 3580812 4476015 4739310 5371218 5968020 8056827 8952030 9478620 10742436 13428045 16113654 17904060 26856090 32227308 40284135 53712180 80568270 161136540