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35980140 = 2235785667
BaseRepresentation
bin1000100101000…
…0001101101100
32111200222110210
42021100031230
533202331030
63323102420
7614553240
oct211201554
974628423
1035980140
1119345459
1210071a10
1375b9c31
144ac8420
15325abb0
hex225036c

35980140 has 48 divisors (see below), whose sum is σ = 115137792. Its totient is φ = 8223936.

The previous prime is 35980127. The next prime is 35980151. The reversal of 35980140 is 4108953.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35980098 and 35980107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42414 + ... + 43253.

It is an arithmetic number, because the mean of its divisors is an integer number (2398704).

Almost surely, 235980140 is an apocalyptic number.

35980140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35980140 is an abundant number, since it is smaller than the sum of its proper divisors (79157652).

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

35980140 is a wasteful number, since it uses less digits than its factorization.

35980140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85686 (or 85684 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 35980140 is about 5998.3447716849. The cubic root of 35980140 is about 330.1319949472.

The spelling of 35980140 in words is "thirty-five million, nine hundred eighty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 85667 171334 257001 342668 428335 514002 599669 856670 1028004 1199338 1285005 1713340 1799007 2398676 2570010 2998345 3598014 5140020 5996690 7196028 8995035 11993380 17990070 35980140