Search a number
-
+
161141200 = 24521153691
BaseRepresentation
bin10011001101011…
…01000111010000
3102020012211011121
421212231013100
5312223004300
623553452024
73664451263
oct1146550720
9366184147
10161141200
1182a61850
1245b71014
132750002c
1417588cda
15e23081a
hex99ad1d0

161141200 has 120 divisors (see below), whose sum is σ = 430927776. Its totient is φ = 57408000.

The previous prime is 161141191. The next prime is 161141203. The reversal of 161141200 is 2141161.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161141203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232855 + ... + 233545.

Almost surely, 2161141200 is an apocalyptic number.

161141200 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 161141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215463888).

161141200 is an abundant number, since it is smaller than the sum of its proper divisors (269786576).

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

161141200 is a wasteful number, since it uses less digits than its factorization.

161141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 161141200 is about 12694.1403805063. The cubic root of 161141200 is about 544.1711723452.

Adding to 161141200 its reverse (2141161), we get a palindrome (163282361).

The spelling of 161141200 in words is "one hundred sixty-one million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 53 55 80 88 100 106 110 176 200 212 220 265 275 400 424 440 530 550 583 691 848 880 1060 1100 1166 1325 1382 2120 2200 2332 2650 2764 2915 3455 4240 4400 4664 5300 5528 5830 6910 7601 9328 10600 11056 11660 13820 14575 15202 17275 21200 23320 27640 29150 30404 34550 36623 38005 46640 55280 58300 60808 69100 73246 76010 116600 121616 138200 146492 152020 183115 190025 233200 276400 292984 304040 366230 380050 402853 585968 608080 732460 760100 805706 915575 1464920 1520200 1611412 1831150 2014265 2929840 3040400 3222824 3662300 4028530 6445648 7324600 8057060 10071325 14649200 16114120 20142650 32228240 40285300 80570600 161141200