Search a number
-
+
185388996 = 223132943953
BaseRepresentation
bin10110000110011…
…00111111000100
3110220211201220010
423003030333010
5334424421441
630221310220
74410531462
oct1303147704
9426751803
10185388996
1195713551
1252105370
132c53ca40
141a89b832
1511420116
hexb0ccfc4

185388996 has 96 divisors (see below), whose sum is σ = 493637760. Its totient is φ = 53738496.

The previous prime is 185388991. The next prime is 185389007. The reversal of 185388996 is 699883581.

185388996 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

185388996 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (185388991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194056 + ... + 195008.

It is an arithmetic number, because the mean of its divisors is an integer number (5142060).

Almost surely, 2185388996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185388996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246818880).

185388996 is an abundant number, since it is smaller than the sum of its proper divisors (308248764).

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

185388996 is a wasteful number, since it uses less digits than its factorization.

185388996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 57.

The square root of 185388996 is about 13615.7627770169. The cubic root of 185388996 is about 570.2010125142.

The spelling of 185388996 in words is "one hundred eighty-five million, three hundred eighty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 43 52 58 78 86 87 116 129 156 172 174 258 348 377 516 559 754 953 1118 1131 1247 1508 1677 1906 2236 2262 2494 2859 3354 3741 3812 4524 4988 5718 6708 7482 11436 12389 14964 16211 24778 27637 32422 37167 40979 48633 49556 55274 64844 74334 81958 82911 97266 110548 122937 148668 163916 165822 194532 245874 331644 359281 491748 532727 718562 1065454 1077843 1188391 1437124 1598181 2130908 2155686 2376782 3196362 3565173 4311372 4753564 6392724 7130346 14260692 15449083 30898166 46347249 61796332 92694498 185388996