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35420166 = 235312351
BaseRepresentation
bin1000011100011…
…1100000000110
32110122112100000
42013013200012
533031421131
63303102130
7610031535
oct207074006
973575300
1035420166
1118aa2771
12ba41946
1374520a2
1449c031c
153199ce6
hex21c7806

35420166 has 48 divisors (see below), whose sum is σ = 82188288. Its totient is φ = 11421000.

The previous prime is 35420141. The next prime is 35420179. The reversal of 35420166 is 66102453.

It is a super-3 number, since 3×354201663 (a number of 24 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13891 + ... + 16241.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 235420166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35420166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41094144).

35420166 is an abundant number, since it is smaller than the sum of its proper divisors (46768122).

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

35420166 is a wasteful number, since it uses less digits than its factorization.

35420166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 35420166 is about 5951.4843526636. The cubic root of 35420166 is about 328.4103714945.

The spelling of 35420166 in words is "thirty-five million, four hundred twenty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2351 2511 4702 5022 7053 7533 14106 15066 21159 42318 63477 72881 126954 145762 190431 218643 380862 437286 571293 655929 1142586 1311858 1967787 3935574 5903361 11806722 17710083 35420166