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39700 = 2252397
BaseRepresentation
bin1001101100010100
32000110101
421230110
52232300
6503444
7223513
oct115424
960411
1039700
1127911
121ab84
13150bb
141067a
15bb6a
hex9b14

39700 has 18 divisors (see below), whose sum is σ = 86366. Its totient is φ = 15840.

The previous prime is 39679. The next prime is 39703. The reversal of 39700 is 793.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4356 + 35344 = 66^2 + 188^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39703) by changing a digit.

39700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99 + ... + 298.

239700 is an apocalyptic number.

39700 is the 100-th decagonal number.

It is an amenable number.

39700 is an abundant number, since it is smaller than the sum of its proper divisors (46666).

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

39700 is a wasteful number, since it uses less digits than its factorization.

39700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 39700 is about 199.2485884517. The cubic root of 39700 is about 34.1138054941.

The spelling of 39700 in words is "thirty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397 794 1588 1985 3970 7940 9925 19850 39700