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39992130 = 234597509
BaseRepresentation
bin1001100010001…
…1101101000010
32210020210220000
42120203231002
540214222010
63545100430
7663633063
oct230435502
983223800
1039992130
1120635752
1211487716
1383930a9
14545056a
15379e7c0
hex2623b42

39992130 has 80 divisors (see below), whose sum is σ = 108856440. Its totient is φ = 10533888.

The previous prime is 39992129. The next prime is 39992221. The reversal of 39992130 is 3129993.

39992130 = T246 + T247 + ... + T633.

It can be written as a sum of positive squares in 4 ways, for example, as 36036009 + 3956121 = 6003^2 + 1989^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 78316 + ... + 78824.

Almost surely, 239992130 is an apocalyptic number.

39992130 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 39992130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54428220).

39992130 is an abundant number, since it is smaller than the sum of its proper divisors (68864310).

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

39992130 is a wasteful number, since it uses less digits than its factorization.

39992130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 39992130 is about 6323.9331116007. The cubic root of 39992130 is about 341.9727586797.

It can be divided in two parts, 399 and 92130, that added together give a palindrome (92529).

The spelling of 39992130 in words is "thirty-nine million, nine hundred ninety-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 194 270 291 405 485 509 582 810 873 970 1018 1455 1527 1746 2545 2619 2910 3054 4365 4581 5090 5238 7635 7857 8730 9162 13095 13743 15270 15714 22905 26190 27486 39285 41229 45810 49373 68715 78570 82458 98746 137430 148119 206145 246865 296238 412290 444357 493730 740595 888714 1333071 1481190 2221785 2666142 3999213 4443570 6665355 7998426 13330710 19996065 39992130