Search a number
-
+
184328040 = 233513173683
BaseRepresentation
bin10101111110010…
…01111101101000
3110211211211112110
422333021331220
5334141444130
630142442320
74365522351
oct1277117550
9424754473
10184328040
1195059426
12518933a0
132c25ab60
141a6a2d28
15112b0ab0
hexafc9f68

184328040 has 128 divisors (see below), whose sum is σ = 599840640. Its totient is φ = 45044736.

The previous prime is 184328017. The next prime is 184328051. The reversal of 184328040 is 40823481.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 184327989 and 184328007.

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 31 ways as a sum of consecutive naturals, for example, 269539 + ... + 270221.

It is an arithmetic number, because the mean of its divisors is an integer number (4686255).

Almost surely, 2184328040 is an apocalyptic number.

184328040 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 184328040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299920320).

184328040 is an abundant number, since it is smaller than the sum of its proper divisors (415512600).

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

184328040 is a wasteful number, since it uses less digits than its factorization.

184328040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 184328040 is about 13576.7462965174. The cubic root of 184328040 is about 569.1112033152. Note that the first 3 decimals are identical.

The spelling of 184328040 in words is "one hundred eighty-four million, three hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 173 195 260 312 346 390 519 520 683 692 780 865 1038 1366 1384 1560 1730 2049 2076 2249 2595 2732 3415 3460 4098 4152 4498 5190 5464 6747 6830 6920 8196 8879 8996 10245 10380 11245 13494 13660 16392 17758 17992 20490 20760 22490 26637 26988 27320 33735 35516 40980 44395 44980 53274 53976 67470 71032 81960 88790 89960 106548 118159 133185 134940 177580 213096 236318 266370 269880 354477 355160 472636 532740 590795 708954 945272 1065480 1181590 1417908 1536067 1772385 2363180 2835816 3072134 3544770 4608201 4726360 6144268 7089540 7680335 9216402 12288536 14179080 15360670 18432804 23041005 30721340 36865608 46082010 61442680 92164020 184328040