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39970000 = 24547571
BaseRepresentation
bin1001100001111…
…0010011010000
32210012200112101
42120132103100
540213020000
63544410144
7663511420
oct230362320
983180471
1039970000
1120620064
1211476954
138385cb5
145446480
153797e6a
hex261e4d0

39970000 has 100 divisors (see below), whose sum is σ = 110789536. Its totient is φ = 13680000.

The previous prime is 39969991. The next prime is 39970001. The reversal of 39970000 is 7993.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39970001) 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 19 ways as a sum of consecutive naturals, for example, 69715 + ... + 70285.

Almost surely, 239970000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55394768).

39970000 is an abundant number, since it is smaller than the sum of its proper divisors (70819536).

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

39970000 is an equidigital number, since it uses as much as digits as its factorization.

39970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 28.

The square root of 39970000 is about 6322.1831672295. The cubic root of 39970000 is about 341.9096691544.

Adding to 39970000 its reverse (7993), we get a palindrome (39977993).

The spelling of 39970000 in words is "thirty-nine million, nine hundred seventy thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 571 625 700 875 1000 1142 1250 1400 1750 2000 2284 2500 2800 2855 3500 3997 4375 4568 5000 5710 7000 7994 8750 9136 10000 11420 14000 14275 15988 17500 19985 22840 28550 31976 35000 39970 45680 57100 63952 70000 71375 79940 99925 114200 142750 159880 199850 228400 285500 319760 356875 399700 499625 571000 713750 799400 999250 1142000 1427500 1598800 1998500 2498125 2855000 3997000 4996250 5710000 7994000 9992500 19985000 39970000