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185369940 = 223257221017
BaseRepresentation
bin10110000110010…
…00010101010100
3110220210202202100
423003020111110
5334423314230
630221042100
74410422100
oct1303102524
9426722670
10185369940
11957001a8
12520b6330
132c534172
141a894900
1511419660
hexb0c8554

185369940 has 108 divisors (see below), whose sum is σ = 654122196. Its totient is φ = 42368256.

The previous prime is 185369929. The next prime is 185369953. The reversal of 185369940 is 49963581.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20196036 + 165173904 = 4494^2 + 12852^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1689 + ... + 19328.

It is an arithmetic number, because the mean of its divisors is an integer number (6056687).

Almost surely, 2185369940 is an apocalyptic number.

185369940 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 185369940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327061098).

185369940 is an abundant number, since it is smaller than the sum of its proper divisors (468752256).

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

185369940 is a wasteful number, since it uses less digits than its factorization.

185369940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21046 (or 21034 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 185369940 is about 13615.0629818595. The cubic root of 185369940 is about 570.1814749957.

The spelling of 185369940 in words is "one hundred eighty-five million, three hundred sixty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 21017 42034 63051 84068 105085 126102 147119 189153 210170 252204 294238 315255 378306 420340 441357 588476 630510 735595 756612 882714 945765 1029833 1261020 1324071 1471190 1765428 1891530 2059666 2206785 2648142 2942380 3089499 3783060 4119332 4413570 5149165 5296284 6178998 6620355 8827140 9268497 10298330 12357996 13240710 15447495 18536994 20596660 26481420 30894990 37073988 46342485 61789980 92684970 185369940