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2039332960 = 25572467557
BaseRepresentation
bin111100110001101…
…1100000001100000
312021010100211220101
41321203130001200
513134032123320
6534205552144
7101352021100
oct17143340140
95233324811
102039332960
11957172045
1248ab75654
132666693c2
14154bb7200
15be081c0a
hex798dc060

2039332960 has 144 divisors (see below), whose sum is σ = 5626608624. Its totient is φ = 696450048.

The previous prime is 2039332951. The next prime is 2039333003. The reversal of 2039332960 is 692339302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3661002 + ... + 3661558.

It is an arithmetic number, because the mean of its divisors is an integer number (39073671).

Almost surely, 22039332960 is an apocalyptic number.

2039332960 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 2039332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813304312).

2039332960 is an abundant number, since it is smaller than the sum of its proper divisors (3587275664).

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

2039332960 is a wasteful number, since it uses less digits than its factorization.

2039332960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 37.

The square root of 2039332960 is about 45158.9743019037. The cubic root of 2039332960 is about 1268.1268933967.

The spelling of 2039332960 in words is "two billion, thirty-nine million, three hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 467 490 557 560 784 934 980 1114 1120 1568 1868 1960 2228 2335 2785 3269 3736 3899 3920 4456 4670 5570 6538 7472 7798 7840 8912 9340 11140 13076 14944 15596 16345 17824 18680 19495 22280 22883 26152 27293 31192 32690 37360 38990 44560 45766 52304 54586 62384 65380 74720 77980 89120 91532 104608 109172 114415 124768 130760 136465 155960 183064 218344 228830 260119 261520 272930 311920 366128 436688 457660 520238 523040 545860 623840 732256 873376 915320 1040476 1091720 1300595 1820833 1830640 2080952 2183440 2601190 3641666 3661280 4161904 4366880 5202380 7283332 8323808 9104165 10404760 12745831 14566664 18208330 20809520 25491662 29133328 36416660 41619040 50983324 58266656 63729155 72833320 101966648 127458310 145666640 203933296 254916620 291333280 407866592 509833240 1019666480 2039332960