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2127994740 = 2238516217
BaseRepresentation
bin111111011010110…
…1001111101110100
312111022012100000000
41332311221331310
513324231312430
6551054151300
7103506441204
oct17665517564
95438170000
102127994740
119a2219a43
124b47b2530
1327bb401b1
14162896404
15c6c46e60
hex7ed69f74

2127994740 has 108 divisors (see below), whose sum is σ = 6703256196. Its totient is φ = 567430272.

The previous prime is 2127994691. The next prime is 2127994787. The reversal of 2127994740 is 474997212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1258688484 + 869306256 = 35478^2 + 29484^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×21279947402 = 9056723226935335200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123112 + ... + 139328.

It is an arithmetic number, because the mean of its divisors is an integer number (62067187).

Almost surely, 22127994740 is an apocalyptic number.

2127994740 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 2127994740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351628098).

2127994740 is an abundant number, since it is smaller than the sum of its proper divisors (4575261456).

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

2127994740 is an equidigital number, since it uses as much as digits as its factorization.

2127994740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16250 (or 16227 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2127994740 is about 46130.1933661675. The cubic root of 2127994740 is about 1286.2444584926.

The spelling of 2127994740 in words is "two billion, one hundred twenty-seven million, nine hundred ninety-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2916 3645 4374 4860 6561 7290 8748 10935 13122 14580 16217 21870 26244 32434 32805 43740 48651 64868 65610 81085 97302 131220 145953 162170 194604 243255 291906 324340 437859 486510 583812 729765 875718 973020 1313577 1459530 1751436 2189295 2627154 2919060 3940731 4378590 5254308 6567885 7881462 8757180 11822193 13135770 15762924 19703655 23644386 26271540 35466579 39407310 47288772 59110965 70933158 78814620 106399737 118221930 141866316 177332895 212799474 236443860 354665790 425598948 531998685 709331580 1063997370 2127994740