Search a number
-
+
91197414 = 2357112437
BaseRepresentation
bin1010110111110…
…00111111100110
320100121022100000
411123320333212
5141321304124
613014402130
72155110450
oct533707746
9210538300
1091197414
1147529a70
1226660346
1315b80c89
14c17d2d0
1580166c9
hex56f8fe6

91197414 has 96 divisors (see below), whose sum is σ = 255580416. Its totient is φ = 23677920.

The previous prime is 91197409. The next prime is 91197419. The reversal of 91197414 is 41479119.

It is an interprime number because it is at equal distance from previous prime (91197409) and next prime (91197419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91197419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36204 + ... + 38640.

It is an arithmetic number, because the mean of its divisors is an integer number (2662296).

Almost surely, 291197414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91197414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127790208).

91197414 is an abundant number, since it is smaller than the sum of its proper divisors (164383002).

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

91197414 is a wasteful number, since it uses less digits than its factorization.

91197414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2460 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 91197414 is about 9549.7337135650. The cubic root of 91197414 is about 450.1191684392.

The spelling of 91197414 in words is "ninety-one million, one hundred ninety-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 2079 2437 2673 3402 4158 4874 5346 6237 7311 12474 14622 17059 18711 21933 26807 34118 37422 43866 51177 53614 65799 80421 102354 131598 153531 160842 187649 197397 241263 307062 375298 394794 460593 482526 562947 592191 723789 921186 1125894 1184382 1381779 1447578 1688841 2171367 2763558 3377682 4145337 4342734 5066523 6514101 8290674 10133046 13028202 15199569 30399138 45598707 91197414