Search a number
-
+
91984230 = 232513292711
BaseRepresentation
bin1010111101110…
…01000101100110
320102002021122100
411132321011212
5142021443410
613043312530
72164565412
oct536710546
9212067570
1091984230
1147a17128
122697b746
1316098150
14c305d42
15811e8c0
hex57b9166

91984230 has 96 divisors (see below), whose sum is σ = 266535360. Its totient is φ = 21853440.

The previous prime is 91984213. The next prime is 91984231. The reversal of 91984230 is 3248919.

It is a super-2 number, since 2×919842302 = 16922197137385800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91984231) 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, 32575 + ... + 35285.

It is an arithmetic number, because the mean of its divisors is an integer number (2776410).

Almost surely, 291984230 is an apocalyptic number.

91984230 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 91984230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133267680).

91984230 is an abundant number, since it is smaller than the sum of its proper divisors (174551130).

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

91984230 is a wasteful number, since it uses less digits than its factorization.

91984230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 91984230 is about 9590.8409433167. The cubic root of 91984230 is about 451.4099480819.

Adding to 91984230 its sum of digits (36), we get a triangular number (91984266 = T13563).

The spelling of 91984230 in words is "ninety-one million, nine hundred eighty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 390 435 522 585 754 870 1131 1170 1305 1885 2262 2610 2711 3393 3770 5422 5655 6786 8133 11310 13555 16266 16965 24399 27110 33930 35243 40665 48798 70486 78619 81330 105729 121995 157238 176215 211458 235857 243990 317187 352430 393095 471714 528645 634374 707571 786190 1022047 1057290 1179285 1415142 1585935 2044094 2358570 3066141 3171870 3537855 5110235 6132282 7075710 9198423 10220470 15330705 18396846 30661410 45992115 91984230