Search a number
-
+
207158040 = 23335832311
BaseRepresentation
bin11000101100011…
…11101100011000
3112102210201102000
430112033230120
5411013024130
632320041000
75063546205
oct1426175430
9472721360
10207158040
11a6a319a1
1259463160
1333bc242b
141d726cac
15132c0260
hexc58fb18

207158040 has 128 divisors (see below), whose sum is σ = 699148800. Its totient is φ = 54552960.

The previous prime is 207158023. The next prime is 207158053. The reversal of 207158040 is 40851702.

207158040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 207157995 and 207158013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88485 + ... + 90795.

It is an arithmetic number, because the mean of its divisors is an integer number (5462100).

Almost surely, 2207158040 is an apocalyptic number.

207158040 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 207158040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349574400).

207158040 is an abundant number, since it is smaller than the sum of its proper divisors (491990760).

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

207158040 is a wasteful number, since it uses less digits than its factorization.

207158040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 207158040 is about 14392.9857916973. The cubic root of 207158040 is about 591.6986763964.

The spelling of 207158040 in words is "two hundred seven million, one hundred fifty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 83 90 108 120 135 166 180 216 249 270 332 360 415 498 540 664 747 830 996 1080 1245 1494 1660 1992 2241 2311 2490 2988 3320 3735 4482 4622 4980 5976 6933 7470 8964 9244 9960 11205 11555 13866 14940 17928 18488 20799 22410 23110 27732 29880 34665 41598 44820 46220 55464 62397 69330 83196 89640 92440 103995 124794 138660 166392 191813 207990 249588 277320 311985 383626 415980 499176 575439 623970 767252 831960 959065 1150878 1247940 1534504 1726317 1918130 2301756 2495880 2877195 3452634 3836260 4603512 5178951 5754390 6905268 7672520 8631585 10357902 11508780 13810536 17263170 20715804 23017560 25894755 34526340 41431608 51789510 69052680 103579020 207158040