Search a number
-
+
90967212 = 22347192111
BaseRepresentation
bin1010110110000…
…00110010101100
320100011121120000
411123000302230
5141241422322
613005424300
72153131350
oct533006254
9210147500
1090967212
1147392016
122656b090
1315b0026b
14c11d460
157ebd3ac
hex56c0cac

90967212 has 120 divisors (see below), whose sum is σ = 286218240. Its totient is φ = 24611040.

The previous prime is 90967211. The next prime is 90967223. The reversal of 90967212 is 21276909.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (90967211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42037 + ... + 44147.

It is an arithmetic number, because the mean of its divisors is an integer number (2385152).

Almost surely, 290967212 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 90967212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143109120).

90967212 is an abundant number, since it is smaller than the sum of its proper divisors (195251028).

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

90967212 is a wasteful number, since it uses less digits than its factorization.

90967212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90967212 is about 9537.6733011778. The cubic root of 90967212 is about 449.7401166081.

It can be divided in two parts, 909 and 67212, that added together give a square (68121 = 2612).

The spelling of 90967212 in words is "ninety million, nine hundred sixty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1539 1596 2052 2111 2268 2394 3078 3591 4222 4788 6156 6333 7182 8444 10773 12666 14364 14777 18999 21546 25332 29554 37998 40109 43092 44331 56997 59108 75996 80218 88662 113994 120327 132993 160436 170991 177324 227988 240654 265986 280763 341982 360981 398979 481308 531972 561526 683964 721962 797958 842289 1082943 1123052 1196937 1443924 1595916 1684578 2165886 2393874 2526867 3248829 3369156 4331772 4787748 5053734 6497658 7580601 10107468 12995316 15161202 22741803 30322404 45483606 90967212