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94138506 = 232721131313
BaseRepresentation
bin1011001110001…
…11000010001010
320120010201202100
411213013002022
5143044413011
613201414230
72222110200
oct547070212
9216121670
1094138506
1149158720
122763a376
1316670877
14c707070
1583e7d56
hex59c708a

94138506 has 144 divisors (see below), whose sum is σ = 268040448. Its totient is φ = 23587200.

The previous prime is 94138487. The next prime is 94138507. The reversal of 94138506 is 60583149.

It is not an unprimeable number, because it can be changed into a prime (94138507) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300606 + ... + 300918.

It is an arithmetic number, because the mean of its divisors is an integer number (1861392).

Almost surely, 294138506 is an apocalyptic number.

It is a pronic number, being equal to 9702×9703.

It is a practical number, because each smaller number is the sum of distinct divisors of 94138506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134020224).

94138506 is an abundant number, since it is smaller than the sum of its proper divisors (173901942).

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

94138506 is a wasteful number, since it uses less digits than its factorization.

94138506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 94138506 is about 9702.4999871167. The cubic root of 94138506 is about 454.9068053705.

The spelling of 94138506 in words is "ninety-four million, one hundred thirty-eight thousand, five hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 49 62 63 66 77 93 98 99 126 147 154 186 198 217 231 279 294 313 341 434 441 462 539 558 626 651 682 693 882 939 1023 1078 1302 1386 1519 1617 1878 1953 2046 2191 2387 2817 3038 3069 3234 3443 3906 4382 4557 4774 4851 5634 6138 6573 6886 7161 9114 9702 9703 10329 13146 13671 14322 15337 16709 19406 19719 20658 21483 24101 27342 29109 30674 30987 33418 39438 42966 46011 48202 50127 58218 61974 67921 72303 87327 92022 100254 106733 135842 138033 144606 150381 168707 174654 203763 213466 216909 276066 300762 320199 337414 407526 433818 475447 506121 611289 640398 747131 950894 960597 1012242 1222578 1426341 1494262 1518363 1921194 2241393 2852682 3036726 4279023 4482786 5229917 6724179 8558046 10459834 13448358 15689751 31379502 47069253 94138506