Search a number
-
+
91980954 = 23313210079
BaseRepresentation
bin1010111101110…
…00010010011010
320102002010011000
411132320102122
5142021342304
613043245430
72164553022
oct536702232
9212063130
1091980954
1147a1471a
1226979876
1316096800
14c304a82
15811d939
hex57b849a

91980954 has 48 divisors (see below), whose sum is σ = 221356800. Its totient is φ = 28299024.

The previous prime is 91980907. The next prime is 91980961. The reversal of 91980954 is 45908919.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4087 + ... + 14165.

It is an arithmetic number, because the mean of its divisors is an integer number (4611600).

Almost surely, 291980954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91980954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110678400).

91980954 is an abundant number, since it is smaller than the sum of its proper divisors (129375846).

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

91980954 is a wasteful number, since it uses less digits than its factorization.

91980954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10116 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 91980954 is about 9590.6701538526. The cubic root of 91980954 is about 451.4045890598.

The spelling of 91980954 in words is "ninety-one million, nine hundred eighty thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126 10079 20158 30237 60474 90711 131027 181422 262054 272133 393081 544266 786162 1179243 1703351 2358486 3406702 3537729 5110053 7075458 10220106 15330159 30660318 45990477 91980954