Search a number
-
+
90947142 = 232111389397
BaseRepresentation
bin1010110101110…
…11111001000110
320100010121000200
411122323321012
5141240302032
613005151330
72153016006
oct532737106
9210117020
1090947142
1147378a30
122655b546
1315ac40a0
14c116006
157eb747c
hex56bbe46

90947142 has 96 divisors (see below), whose sum is σ = 234692640. Its totient is φ = 25090560.

The previous prime is 90947141. The next prime is 90947159. The reversal of 90947142 is 24174909.

It is a junction number, because it is equal to n+sod(n) for n = 90947097 and 90947106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90947141) 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, 228888 + ... + 229284.

It is an arithmetic number, because the mean of its divisors is an integer number (2444715).

Almost surely, 290947142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90947142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117346320).

90947142 is an abundant number, since it is smaller than the sum of its proper divisors (143745498).

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

90947142 is a wasteful number, since it uses less digits than its factorization.

90947142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 90947142 is about 9536.6210997397. The cubic root of 90947142 is about 449.7070389462.

The spelling of 90947142 in words is "ninety million, nine hundred forty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 89 99 117 143 178 198 234 267 286 397 429 534 794 801 858 979 1157 1191 1287 1602 1958 2314 2382 2574 2937 3471 3573 4367 5161 5874 6942 7146 8734 8811 10322 10413 12727 13101 15483 17622 20826 25454 26202 30966 35333 38181 39303 46449 56771 70666 76362 78606 92898 105999 113542 114543 170313 211998 229086 317997 340626 388663 459329 510939 635994 777326 918658 1021878 1165989 1377987 2331978 2755974 3497967 4133961 5052619 6995934 8267922 10105238 15157857 30315714 45473571 90947142