Search a number
-
+
93038670 = 23252943829
BaseRepresentation
bin1011000101110…
…10100001001110
320111001212001200
411202322201032
5142304214140
613122050330
72206546524
oct542724116
9214055050
1093038670
114857736a
12271a99a6
131637708a
14c4dc314
15827c030
hex58ba84e

93038670 has 96 divisors (see below), whose sum is σ = 256370400. Its totient is φ = 23369472.

The previous prime is 93038653. The next prime is 93038707. The reversal of 93038670 is 7683039.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 111816 + ... + 112644.

It is an arithmetic number, because the mean of its divisors is an integer number (2670525).

Almost surely, 293038670 is an apocalyptic number.

93038670 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 93038670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128185200).

93038670 is an abundant number, since it is smaller than the sum of its proper divisors (163331730).

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

93038670 is a wasteful number, since it uses less digits than its factorization.

93038670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 93038670 is about 9645.6554987207. The cubic root of 93038670 is about 453.1282767579.

The spelling of 93038670 in words is "ninety-three million, thirty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 43 45 58 86 87 90 129 145 174 215 258 261 290 387 430 435 522 645 774 829 870 1247 1290 1305 1658 1935 2487 2494 2610 3741 3870 4145 4974 6235 7461 7482 8290 11223 12435 12470 14922 18705 22446 24041 24870 35647 37305 37410 48082 56115 71294 72123 74610 106941 112230 120205 144246 178235 213882 216369 240410 320823 356470 360615 432738 534705 641646 721230 1033763 1069410 1081845 1604115 2067526 2163690 3101289 3208230 5168815 6202578 9303867 10337630 15506445 18607734 31012890 46519335 93038670