Search a number
-
+
206931240 = 23335296607
BaseRepresentation
bin11000101010110…
…00010100101000
3112102101012022000
430111120110220
5410433244430
632311131000
75061613035
oct1425302450
9472335260
10206931240
11a689755a
1259373a60
1333b43129
141d6a838c
1513277e60
hexc558528

206931240 has 128 divisors (see below), whose sum is σ = 713664000. Its totient is φ = 53270784.

The previous prime is 206931233. The next prime is 206931247. The reversal of 206931240 is 42139602.

It is an interprime number because it is at equal distance from previous prime (206931233) and next prime (206931247).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (206931247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28017 + ... + 34623.

It is an arithmetic number, because the mean of its divisors is an integer number (5575500).

Almost surely, 2206931240 is an apocalyptic number.

206931240 is a gapful number since it is divisible by the number (20) 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 206931240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356832000).

206931240 is an abundant number, since it is smaller than the sum of its proper divisors (506732760).

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

206931240 is a wasteful number, since it uses less digits than its factorization.

206931240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 206931240 is about 14385.1047962815. The cubic root of 206931240 is about 591.4826637596.

The spelling of 206931240 in words is "two hundred six million, nine hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 6607 7830 10440 13214 15660 19821 26428 31320 33035 39642 52856 59463 66070 79284 99105 118926 132140 158568 178389 191603 198210 237852 264280 297315 356778 383206 396420 475704 574809 594630 713556 766412 792840 891945 958015 1149618 1189260 1427112 1532824 1724427 1783890 1916030 2299236 2378520 2874045 3448854 3567780 3832060 4598472 5173281 5748090 6897708 7135560 7664120 8622135 10346562 11496180 13795416 17244270 20693124 22992360 25866405 34488540 41386248 51732810 68977080 103465620 206931240