Search a number
-
+
121814190 = 23253143661
BaseRepresentation
bin1110100001010…
…11110010101110
322111012210122200
413100223302232
5222141023230
620030522330
73006255261
oct720536256
9274183580
10121814190
1162840893
12349663a6
131c310904
141226ccd8
15aa63160
hex742bcae

121814190 has 48 divisors (see below), whose sum is σ = 326941056. Its totient is φ = 31435200.

The previous prime is 121814167. The next prime is 121814191. The reversal of 121814190 is 91418121.

It is a super-2 number, since 2×1218141902 = 29677393770712200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121814191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19041 + ... + 24620.

It is an arithmetic number, because the mean of its divisors is an integer number (6811272).

Almost surely, 2121814190 is an apocalyptic number.

121814190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121814190 is an abundant number, since it is smaller than the sum of its proper divisors (205126866).

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

121814190 is a wasteful number, since it uses less digits than its factorization.

121814190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43705 (or 43702 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 121814190 is about 11036.9465886177. The cubic root of 121814190 is about 495.7156468254.

The spelling of 121814190 in words is "one hundred twenty-one million, eight hundred fourteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 43661 87322 130983 218305 261966 392949 436610 654915 785898 1309830 1353491 1964745 2706982 3929490 4060473 6767455 8120946 12181419 13534910 20302365 24362838 40604730 60907095 121814190