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113787414 = 232132332087
BaseRepresentation
bin1101100100001…
…00001000010110
321221002222222200
412302010020112
5213112144124
615142505330
72551114506
oct662041026
9257088880
10113787414
1159259194
1232135246
131a760240
141117da06
159ec9bc9
hex6c84216

113787414 has 48 divisors (see below), whose sum is σ = 266771232. Its totient is φ = 34844544.

The previous prime is 113787407. The next prime is 113787419. The reversal of 113787414 is 414787311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113787419) 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, 53479 + ... + 55565.

It is an arithmetic number, because the mean of its divisors is an integer number (5557734).

Almost surely, 2113787414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113787414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133385616).

113787414 is an abundant number, since it is smaller than the sum of its proper divisors (152983818).

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

113787414 is a wasteful number, since it uses less digits than its factorization.

113787414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2338 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 113787414 is about 10667.1183550198. The cubic root of 113787414 is about 484.5791708622.

The spelling of 113787414 in words is "one hundred thirteen million, seven hundred eighty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 233 234 466 699 1398 2087 2097 3029 4174 4194 6058 6261 9087 12522 18174 18783 27131 27261 37566 54262 54522 81393 162786 244179 486271 488358 972542 1458813 2917626 4376439 6321523 8752878 12643046 18964569 37929138 56893707 113787414