Search a number
-
+
194916240 = 2433590239
BaseRepresentation
bin10111001111000…
…10111110010000
3111120202202211000
423213202332100
5344344304430
631201422000
74554521631
oct1347427620
9446682730
10194916240
11a0030502
125533a900
13314c736c
141bc5b888
15121a2e60
hexb9e2f90

194916240 has 80 divisors (see below), whose sum is σ = 671385600. Its totient is φ = 51977088.

The previous prime is 194916233. The next prime is 194916247. The reversal of 194916240 is 42619491.

It is a happy number.

194916240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (194916233) and next prime (194916247).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 194916195 and 194916204.

It is not an unprimeable number, because it can be changed into a prime (194916247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42960 + ... + 47279.

It is an arithmetic number, because the mean of its divisors is an integer number (8392320).

Almost surely, 2194916240 is an apocalyptic number.

194916240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

194916240 is an abundant number, since it is smaller than the sum of its proper divisors (476469360).

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

194916240 is a wasteful number, since it uses less digits than its factorization.

194916240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90261 (or 90249 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 194916240 is about 13961.2406325512. The cubic root of 194916240 is about 579.8059596645.

The spelling of 194916240 in words is "one hundred ninety-four million, nine hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 90239 180478 270717 360956 451195 541434 721912 812151 902390 1082868 1353585 1443824 1624302 1804780 2165736 2436453 2707170 3248604 3609560 4060755 4331472 4872906 5414340 6497208 7219120 8121510 9745812 10828680 12182265 12994416 16243020 19491624 21657360 24364530 32486040 38983248 48729060 64972080 97458120 194916240