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207138414 = 2372329323
BaseRepresentation
bin11000101100010…
…10111001101110
3112102202201111010
430112022321232
5411011412124
632315410050
75063435040
oct1426127156
9472681433
10207138414
11a6a1917a
1259453926
1333bb6512
141d71da90
15132b9529
hexc58ae6e

207138414 has 48 divisors (see below), whose sum is σ = 494992512. Its totient is φ = 56603184.

The previous prime is 207138409. The next prime is 207138419. The reversal of 207138414 is 414831702.

It is an interprime number because it is at equal distance from previous prime (207138409) and next prime (207138419).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207138419) 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, 17557 + ... + 26879.

It is an arithmetic number, because the mean of its divisors is an integer number (10312344).

Almost surely, 2207138414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207138414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247496256).

207138414 is an abundant number, since it is smaller than the sum of its proper divisors (287854098).

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

207138414 is a wasteful number, since it uses less digits than its factorization.

207138414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9381 (or 9358 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 207138414 is about 14392.3039851165. The cubic root of 207138414 is about 591.6799901075.

The spelling of 207138414 in words is "two hundred seven million, one hundred thirty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 529 966 1058 1587 3174 3703 7406 9323 11109 18646 22218 27969 55938 65261 130522 195783 214429 391566 428858 643287 1286574 1501003 3002006 4503009 4931867 9006018 9863734 14795601 29591202 34523069 69046138 103569207 207138414