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35042640 = 2435146011
BaseRepresentation
bin1000010110101…
…1010101010000
32102221100110120
42011223111100
532432331030
63251030240
7603600063
oct205532520
972840416
1035042640
1118865066
12b89b380
13734c2b9
1449228da
153123010
hex216b550

35042640 has 40 divisors (see below), whose sum is σ = 108632928. Its totient is φ = 9344640.

The previous prime is 35042633. The next prime is 35042647. The reversal of 35042640 is 4624053.

It is an interprime number because it is at equal distance from previous prime (35042633) and next prime (35042647).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 35042640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35042647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72766 + ... + 73245.

Almost surely, 235042640 is an apocalyptic number.

35042640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35042640 is an abundant number, since it is smaller than the sum of its proper divisors (73590288).

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

35042640 is a wasteful number, since it uses less digits than its factorization.

35042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146027 (or 146021 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 35042640 is about 5919.6824239143. The cubic root of 35042640 is about 327.2394135563.

Adding to 35042640 its reverse (4624053), we get a palindrome (39666693).

The spelling of 35042640 in words is "thirty-five million, forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 146011 292022 438033 584044 730055 876066 1168088 1460110 1752132 2190165 2336176 2920220 3504264 4380330 5840440 7008528 8760660 11680880 17521320 35042640