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90282114 = 23413163263
BaseRepresentation
bin1010110000110…
…01100010000010
320021212210210000
411120121202002
5141103011424
612543020430
72144246106
oct530314202
9207783700
1090282114
1146a6431a
122629a716
1315920490
14bdc1906
157dd53c9
hex5619882

90282114 has 80 divisors (see below), whose sum is σ = 220030272. Its totient is φ = 27503712.

The previous prime is 90282103. The next prime is 90282131. The reversal of 90282114 is 41128209.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343147 + ... + 343409.

Almost surely, 290282114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90282114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110015136).

90282114 is an abundant number, since it is smaller than the sum of its proper divisors (129748158).

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

90282114 is a wasteful number, since it uses less digits than its factorization.

90282114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 90282114 is about 9501.6900601946. The cubic root of 90282114 is about 448.6082332942.

The spelling of 90282114 in words is "ninety million, two hundred eighty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 163 234 263 326 351 489 526 702 789 978 1053 1467 1578 2106 2119 2367 2934 3419 4238 4401 4734 6357 6838 7101 8802 10257 12714 13203 14202 19071 20514 21303 26406 30771 38142 42606 42869 57213 61542 85738 92313 114426 128607 171639 184626 257214 276939 343278 385821 553878 557297 771642 1114594 1157463 1671891 2314926 3343782 3472389 5015673 6944778 10031346 15047019 30094038 45141057 90282114