Search a number
-
+
197007426 = 232711307463
BaseRepresentation
bin10111011111000…
…01100001000010
3111201201000101100
423233201201002
5400413214201
631314315230
74611351450
oct1357414102
9451630340
10197007426
11a1229660
1255b88b16
1331a7a155
141c2439d0
1512467886
hexbbe1842

197007426 has 96 divisors (see below), whose sum is σ = 535062528. Its totient is φ = 50893920.

The previous prime is 197007401. The next prime is 197007427. The reversal of 197007426 is 624700791.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (197007427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425271 + ... + 425733.

It is an arithmetic number, because the mean of its divisors is an integer number (5573568).

Almost surely, 2197007426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197007426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267531264).

197007426 is an abundant number, since it is smaller than the sum of its proper divisors (338055102).

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

197007426 is a wasteful number, since it uses less digits than its factorization.

197007426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 197007426 is about 14035.9333854219. The cubic root of 197007426 is about 581.8720978726.

The spelling of 197007426 in words is "one hundred ninety-seven million, seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 307 462 463 614 693 921 926 1386 1389 1842 2149 2763 2778 3241 3377 4167 4298 5093 5526 6447 6482 6754 8334 9723 10131 10186 12894 15279 19341 19446 20262 23639 29169 30393 30558 35651 38682 45837 47278 58338 60786 70917 71302 91674 106953 141834 142141 212751 213906 284282 320859 425502 426423 641718 852846 994987 1279269 1563551 1989974 2558538 2984961 3127102 4690653 5969922 8954883 9381306 10944857 14071959 17909766 21889714 28143918 32834571 65669142 98503713 197007426