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32140098 = 23317157223
BaseRepresentation
bin111101010011…
…0101101000010
32020110212221000
41322212231002
531211440343
63104512430
7540120624
oct172465502
966425830
1032140098
1117162371
12a91b716
136874113
1443a8c14
152c4ced3
hex1ea6b42

32140098 has 64 divisors (see below), whose sum is σ = 76446720. Its totient is φ = 9974016.

The previous prime is 32140061. The next prime is 32140099. The reversal of 32140098 is 89004123.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32140099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144015 + ... + 144237.

It is an arithmetic number, because the mean of its divisors is an integer number (1194480).

Almost surely, 232140098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32140098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38223360).

32140098 is an abundant number, since it is smaller than the sum of its proper divisors (44306622).

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

32140098 is a wasteful number, since it uses less digits than its factorization.

32140098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

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

The square root of 32140098 is about 5669.2237563885. The cubic root of 32140098 is about 317.9428519590.

The spelling of 32140098 in words is "thirty-two million, one hundred forty thousand, ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 157 223 306 314 446 459 471 669 918 942 1338 1413 2007 2669 2826 3791 4014 4239 5338 6021 7582 8007 8478 11373 12042 16014 22746 24021 34119 35011 48042 68238 70022 72063 102357 105033 144126 204714 210066 315099 595187 630198 945297 1190374 1785561 1890594 3571122 5356683 10713366 16070049 32140098