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2032861440 = 28352323017
BaseRepresentation
bin111100100101011…
…0000000100000000
312020200012001122110
41321022300010000
513130403031230
6533415135320
7101243015511
oct17112600400
95220161573
102032861440
11953551985
12488974540
132652118bc
14153db0a08
15bd7044b0
hex792b0100

2032861440 has 144 divisors (see below), whose sum is σ = 6775026048. Its totient is φ = 518504448.

The previous prime is 2032861427. The next prime is 2032861447. The reversal of 2032861440 is 441682302.

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 = 2032861398 and 2032861407.

It is not an unprimeable number, because it can be changed into a prime (2032861447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76812 + ... + 99828.

It is an arithmetic number, because the mean of its divisors is an integer number (47048792).

Almost surely, 22032861440 is an apocalyptic number.

2032861440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387513024).

2032861440 is an abundant number, since it is smaller than the sum of its proper divisors (4742164608).

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

2032861440 is a wasteful number, since it uses less digits than its factorization.

2032861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23064 (or 23050 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2032861440 is about 45087.2647207612. The cubic root of 2032861440 is about 1266.7840679118.

The spelling of 2032861440 in words is "two billion, thirty-two million, eight hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1104 1280 1380 1472 1840 1920 2208 2760 2944 3680 3840 4416 5520 5888 7360 8832 11040 14720 17664 22080 23017 29440 44160 46034 69051 88320 92068 115085 138102 184136 230170 276204 345255 368272 460340 529391 552408 690510 736544 920680 1058782 1104816 1381020 1473088 1588173 1841360 2117564 2209632 2646955 2762040 2946176 3176346 3682720 4235128 4419264 5293910 5524080 5892352 6352692 7365440 7940865 8470256 8838528 10587820 11048160 12705384 14730880 15881730 16940512 17677056 21175640 22096320 25410768 29461760 31763460 33881024 42351280 44192640 50821536 63526920 67762048 84702560 88385280 101643072 127053840 135524096 169405120 203286144 254107680 338810240 406572288 508215360 677620480 1016430720 2032861440