Search a number
-
+
185997006 = 23313289229
BaseRepresentation
bin10110001011000…
…01011011001110
3110221222121221000
423011201123032
5340103401011
630242321130
74415643216
oct1305413316
9427877830
10185997006
1195a99338
12523591a6
132c6c3700
141a9b9246
15114e0356
hexb1616ce

185997006 has 96 divisors (see below), whose sum is σ = 454572000. Its totient is φ = 56339712.

The previous prime is 185996999. The next prime is 185997011. The reversal of 185997006 is 600799581.

185997006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812100 + ... + 812328.

It is an arithmetic number, because the mean of its divisors is an integer number (4735125).

Almost surely, 2185997006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185997006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227286000).

185997006 is an abundant number, since it is smaller than the sum of its proper divisors (268574994).

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

185997006 is a wasteful number, since it uses less digits than its factorization.

185997006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 185997006 is about 13638.0719311785. The cubic root of 185997006 is about 570.8236844990.

The spelling of 185997006 in words is "one hundred eighty-five million, nine hundred ninety-seven thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 89 117 169 178 229 234 267 338 351 458 507 534 687 702 801 1014 1157 1374 1521 1602 2061 2314 2403 2977 3042 3471 4122 4563 4806 5954 6183 6942 8931 9126 10413 12366 15041 17862 20381 20826 26793 30082 31239 38701 40762 45123 53586 61143 62478 77402 80379 90246 116103 122286 135369 160758 183429 232206 264953 270738 348309 366858 406107 529906 550287 696618 794859 812214 1044927 1100574 1589718 2089854 2384577 3444389 4769154 6888778 7153731 10333167 14307462 20666334 30999501 61999002 92998503 185997006