Search a number
-
+
90909126 = 232711107613
BaseRepresentation
bin1010110101100…
…10100111000110
320100001122212200
411122302213012
5141233043001
613004255330
72152500120
oct532624706
9210048780
1090909126
1147352410
1226541546
1315aac9a9
14c106210
157eab086
hex56b29c6

90909126 has 96 divisors (see below), whose sum is σ = 248272128. Its totient is φ = 23353920.

The previous prime is 90909121. The next prime is 90909127. The reversal of 90909126 is 62190909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90909121) 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, 147996 + ... + 148608.

It is an arithmetic number, because the mean of its divisors is an integer number (2586168).

Almost surely, 290909126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90909126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124136064).

90909126 is an abundant number, since it is smaller than the sum of its proper divisors (157363002).

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

90909126 is a wasteful number, since it uses less digits than its factorization.

90909126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 90909126 is about 9534.6277326385. The cubic root of 90909126 is about 449.6443708768.

The spelling of 90909126 in words is "ninety million, nine hundred nine thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 107 126 154 198 214 231 321 462 613 642 693 749 963 1177 1226 1386 1498 1839 1926 2247 2354 3531 3678 4291 4494 5517 6741 6743 7062 8239 8582 10593 11034 12873 13482 13486 16478 20229 21186 24717 25746 38619 40458 47201 49434 60687 65591 74151 77238 94402 121374 131182 141603 148302 196773 283206 393546 424809 459137 590319 721501 849618 918274 1180638 1377411 1443002 2164503 2754822 4132233 4329006 5050507 6493509 8264466 10101014 12987018 15151521 30303042 45454563 90909126