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35490 = 2357132
BaseRepresentation
bin1000101010100010
31210200110
420222202
52113430
6432150
7205320
oct105242
953613
1035490
1124734
1218656
1313200
14cd10
15a7b0
hex8aa2

35490 has 48 divisors (see below), whose sum is σ = 105408. Its totient is φ = 7488.

The previous prime is 35461. The next prime is 35491. The reversal of 35490 is 9453.

35490 is nontrivially palindromic in base 4.

35490 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

35490 is strictly pandigital in base 6.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35491) by changing a digit.

35490 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2724 + ... + 2736.

It is an arithmetic number, because the mean of its divisors is an integer number (2196).

235490 is an apocalyptic number.

35490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52704).

35490 is an abundant number, since it is smaller than the sum of its proper divisors (69918).

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

35490 is a wasteful number, since it uses less digits than its factorization.

35490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 35490 is about 188.3878977005. The cubic root of 35490 is about 32.8626059869.

Adding to 35490 its sum of digits (21), we get a triangular number (35511 = T266).

It can be divided in two parts, 354 and 90, that added together give a palindrome (444).

The spelling of 35490 in words is "thirty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1690 2366 2535 2730 3549 5070 5915 7098 11830 17745 35490