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969832040 = 235417692
BaseRepresentation
bin111001110011100…
…111011001101000
32111120220120110012
4321303213121220
53441234111130
6240122511052
733014302442
oct7163473150
92446816405
10969832040
11458499191
12230965488
13125c06918
1492b37492
155a222995
hex39ce7668

969832040 has 48 divisors (see below), whose sum is σ = 2238255180. Its totient is φ = 377978880.

The previous prime is 969832037. The next prime is 969832043. The reversal of 969832040 is 40238969.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (969832037) and next prime (969832043).

It can be written as a sum of positive squares in 6 ways, for example, as 97574884 + 872257156 = 9878^2 + 29534^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969832043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260776 + ... + 1261544.

Almost surely, 2969832040 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 969832040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119127590).

969832040 is an abundant number, since it is smaller than the sum of its proper divisors (1268423140).

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

969832040 is an equidigital number, since it uses as much as digits as its factorization.

969832040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 969832040 is about 31142.1264527649. The cubic root of 969832040 is about 989.8411607901.

The spelling of 969832040 in words is "nine hundred sixty-nine million, eight hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 769 820 1538 1640 3076 3845 6152 7690 15380 30760 31529 63058 126116 157645 252232 315290 591361 630580 1182722 1261160 2365444 2956805 4730888 5913610 11827220 23654440 24245801 48491602 96983204 121229005 193966408 242458010 484916020 969832040