Search a number
-
+
117378261 = 337111343101
BaseRepresentation
bin1101111111100…
…00110011010101
322011212102201000
412333300303111
5220022101021
615351453513
72623461450
oct677606325
9264772630
10117378261
1160291030
1233387299
131b4197c0
1411836497
15a488b26
hex6ff0cd5

117378261 has 128 divisors (see below), whose sum is σ = 241274880. Its totient is φ = 54432000.

The previous prime is 117378259. The next prime is 117378263. The reversal of 117378261 is 162873711.

It is an interprime number because it is at equal distance from previous prime (117378259) and next prime (117378263).

It is not a de Polignac number, because 117378261 - 21 = 117378259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117378263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1162111 + ... + 1162211.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 2117378261 is an apocalyptic number.

117378261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

117378261 is an abundant number, since it is smaller than the sum of its proper divisors (123896619).

117378261 is a wasteful number, since it uses less digits than its factorization.

117378261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 117378261 is about 10834.1248377522. The cubic root of 117378261 is about 489.6238415317.

The spelling of 117378261 in words is "one hundred seventeen million, three hundred seventy-eight thousand, two hundred sixty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 43 63 77 91 99 101 117 129 143 189 231 273 297 301 303 351 387 429 473 559 693 707 819 903 909 1001 1111 1161 1287 1313 1419 1677 2079 2121 2457 2709 2727 3003 3311 3333 3861 3913 3939 4257 4343 5031 6149 6363 7777 8127 9009 9191 9933 9999 11739 11817 12771 13029 14443 15093 18447 19089 23331 27027 27573 29799 29997 30401 35217 35451 39087 43043 43329 47773 55341 56459 69993 82719 89397 91203 101101 105651 117261 129129 129987 143319 166023 169377 209979 248157 273609 303303 334411 387387 389961 395213 429957 508131 621049 820827 909909 1003233 1162161 1185639 1289871 1524393 1863147 2729727 3009699 3556917 4347343 5589441 9029097 10670751 13042029 16768323 39126087 117378261