Search a number
-
+
89676132 = 22371326317
BaseRepresentation
bin1010101100001…
…01100101100100
320020202000112020
411112011211210
5140424114012
612522023140
72136143310
oct526054544
9206660466
1089676132
1146690007
1226047ab0
131576a700
14bca4b40
157d15a8c
hex5585964

89676132 has 72 divisors (see below), whose sum is σ = 258987456. Its totient is φ = 23647104.

The previous prime is 89676089. The next prime is 89676137. The reversal of 89676132 is 23167698.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (89676137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11038 + ... + 17354.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048).

Almost surely, 289676132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89676132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129493728).

89676132 is an abundant number, since it is smaller than the sum of its proper divisors (169311324).

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

89676132 is a wasteful number, since it uses less digits than its factorization.

89676132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357 (or 6342 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 89676132 is about 9469.7482543096. The cubic root of 89676132 is about 447.6022790883.

It can be divided in two parts, 896 and 76132, that added together give a triangular number (77028 = T392).

The spelling of 89676132 in words is "eighty-nine million, six hundred seventy-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 6317 7098 12634 14196 18951 25268 37902 44219 75804 82121 88438 132657 164242 176876 246363 265314 328484 492726 530628 574847 985452 1067573 1149694 1724541 2135146 2299388 3202719 3449082 4270292 6405438 6898164 7473011 12810876 14946022 22419033 29892044 44838066 89676132