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35132130 = 2345113943
BaseRepresentation
bin1000011000000…
…1001011100010
32110002220020000
42012001023202
532443212010
63253000430
7604422015
oct206011342
973086200
1035132130
1118916320
12b923116
137380c57
14494737c
15313e7c0
hex21812e2

35132130 has 80 divisors (see below), whose sum is σ = 103080384. Its totient is φ = 8514720.

The previous prime is 35132101. The next prime is 35132131. The reversal of 35132130 is 3123153.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (35132131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6939 + ... + 10881.

Almost surely, 235132130 is an apocalyptic number.

35132130 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 35132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51540192).

35132130 is an abundant number, since it is smaller than the sum of its proper divisors (67948254).

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

35132130 is a wasteful number, since it uses less digits than its factorization.

35132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 35132130 is about 5927.2362868372. The cubic root of 35132130 is about 327.5177388756.

Adding to 35132130 its reverse (3123153), we get a palindrome (38255283).

The spelling of 35132130 in words is "thirty-five million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 3943 4455 7886 8910 11829 19715 23658 35487 39430 43373 59145 70974 86746 106461 118290 130119 177435 212922 216865 260238 319383 354870 390357 433730 532305 638766 650595 780714 1064610 1171071 1301190 1596915 1951785 2342142 3193830 3513213 3903570 5855355 7026426 11710710 17566065 35132130