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90630414 = 2347229349
BaseRepresentation
bin1010110011011…
…10100100001110
320022112111120000
411121232210032
5141200133124
612554305130
72150226420
oct531564416
9208474500
1090630414
1147181a76
12264281a6
1315a12b84
14c072810
157e536c9
hex566e90e

90630414 has 80 divisors (see below), whose sum is σ = 233772000. Its totient is φ = 25707456.

The previous prime is 90630413. The next prime is 90630457. The reversal of 90630414 is 41403609.

It is a super-2 number, since 2×906304142 = 16427743883622792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90630413) 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, 259512 + ... + 259860.

It is an arithmetic number, because the mean of its divisors is an integer number (2922150).

Almost surely, 290630414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90630414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116886000).

90630414 is an abundant number, since it is smaller than the sum of its proper divisors (143141586).

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

90630414 is a wasteful number, since it uses less digits than its factorization.

90630414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90630414 is about 9520.0007352941. Note that the first 3 decimals coincide. The cubic root of 90630414 is about 449.1843892913.

The spelling of 90630414 in words is "ninety million, six hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 229 349 378 458 567 687 698 1047 1134 1374 1603 2061 2094 2443 3141 3206 4122 4809 4886 6183 6282 7329 9423 9618 12366 14427 14658 18549 18846 21987 28269 28854 37098 43281 43974 56538 65961 79921 86562 129843 131922 159842 197883 239763 259686 395766 479526 559447 719289 1118894 1438578 1678341 2157867 3356682 4315734 5035023 6473601 10070046 12947202 15105069 30210138 45315207 90630414