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76136214 = 23711223739
BaseRepresentation
bin1001000100110…
…11111100010110
312022021010020210
410202123330112
5123442324324
611315510250
71613101320
oct442337426
9168233223
1076136214
1139a822a0
12215b8386
1312a0981b
14a17c610
156a3dd29
hex489bf16

76136214 has 64 divisors (see below), whose sum is σ = 190955520. Its totient is φ = 19660320.

The previous prime is 76136213. The next prime is 76136227. The reversal of 76136214 is 41263167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76136213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102657 + ... + 103395.

It is an arithmetic number, because the mean of its divisors is an integer number (2983680).

Almost surely, 276136214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76136214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95477760).

76136214 is an abundant number, since it is smaller than the sum of its proper divisors (114819306).

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

76136214 is a wasteful number, since it uses less digits than its factorization.

76136214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985.

The product of its digits is 6048, while the sum is 30.

The square root of 76136214 is about 8725.6067983837. The cubic root of 76136214 is about 423.8352681239.

The spelling of 76136214 in words is "seventy-six million, one hundred thirty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 223 231 446 462 669 739 1338 1478 1561 2217 2453 3122 4434 4683 4906 5173 7359 8129 9366 10346 14718 15519 16258 17171 24387 31038 34342 48774 51513 56903 103026 113806 164797 170709 329594 341418 494391 988782 1153579 1812767 2307158 3460737 3625534 5438301 6921474 10876602 12689369 25378738 38068107 76136214