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35245140 = 22357312707
BaseRepresentation
bin1000011001110…
…0110001010100
32110022122020120
42012130301110
533010321030
63255231540
7605402340
oct206346124
973278216
1035245140
1118993217
12b9785b0
1373c0518
144976620
153163010
hex219cc54

35245140 has 96 divisors (see below), whose sum is σ = 116465664. Its totient is φ = 7793280.

The previous prime is 35245123. The next prime is 35245141. The reversal of 35245140 is 4154253.

It is a self number, because there is not a number n which added to its sum of digits gives 35245140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35245141) 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 31 ways as a sum of consecutive naturals, for example, 11667 + ... + 14373.

It is an arithmetic number, because the mean of its divisors is an integer number (1213184).

Almost surely, 235245140 is an apocalyptic number.

35245140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35245140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58232832).

35245140 is an abundant number, since it is smaller than the sum of its proper divisors (81220524).

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

35245140 is a wasteful number, since it uses less digits than its factorization.

35245140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 35245140 is about 5936.7617435770. The cubic root of 35245140 is about 327.8685399224.

Adding to 35245140 its reverse (4154253), we get a palindrome (39399393).

The spelling of 35245140 in words is "thirty-five million, two hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 2707 3255 4340 5414 6510 8121 10828 13020 13535 16242 18949 27070 32484 37898 40605 54140 56847 75796 81210 83917 94745 113694 162420 167834 189490 227388 251751 284235 335668 378980 419585 503502 568470 587419 839170 1007004 1136940 1174838 1258755 1678340 1762257 2349676 2517510 2937095 3524514 5035020 5874190 7049028 8811285 11748380 17622570 35245140