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90810342 = 2337793041
BaseRepresentation
bin1010110100110…
…10011111100110
320022212122101000
411122122133212
5141221412332
613002214130
72151606120
oct532323746
9208778330
1090810342
1147295177
12264b4346
1315a76a3c
14c0bc210
157e8bb7c
hex569a7e6

90810342 has 64 divisors (see below), whose sum is σ = 233625600. Its totient is φ = 25608960.

The previous prime is 90810341. The next prime is 90810347. The reversal of 90810342 is 24301809.

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 (90810341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28342 + ... + 31382.

It is an arithmetic number, because the mean of its divisors is an integer number (3650400).

Almost surely, 290810342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90810342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116812800).

90810342 is an abundant number, since it is smaller than the sum of its proper divisors (142815258).

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

90810342 is a wasteful number, since it uses less digits than its factorization.

90810342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90810342 is about 9529.4460489579. The cubic root of 90810342 is about 449.4814471249.

The spelling of 90810342 in words is "ninety million, eight hundred ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 237 378 474 553 711 1106 1422 1659 2133 3041 3318 4266 4977 6082 9123 9954 14931 18246 21287 27369 29862 42574 54738 63861 82107 127722 164214 191583 240239 383166 480478 574749 720717 1149498 1441434 1681673 2162151 3363346 4324302 5045019 6486453 10090038 12972906 15135057 30270114 45405171 90810342