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2046014740 = 2257118316007
BaseRepresentation
bin111100111110011…
…1011010100010100
312021120221022120201
41321330323110110
513142234432430
6535005110244
7101462560360
oct17174732424
95246838521
102046014740
1195aa16180
12491258384
13267b68813
14155a362a0
15be9518ca
hex79f3b514

2046014740 has 96 divisors (see below), whose sum is σ = 5421717504. Its totient is φ = 629996160.

The previous prime is 2046014717. The next prime is 2046014743. The reversal of 2046014740 is 474106402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2046014699 and 2046014708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046014743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119817 + ... + 135823.

It is an arithmetic number, because the mean of its divisors is an integer number (56476224).

Almost surely, 22046014740 is an apocalyptic number.

2046014740 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 2046014740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710858752).

2046014740 is an abundant number, since it is smaller than the sum of its proper divisors (3375702764).

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

2046014740 is a wasteful number, since it uses less digits than its factorization.

2046014740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16117 (or 16115 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2046014740 is about 45232.8944464092. The cubic root of 2046014740 is about 1269.5103698756.

The spelling of 2046014740 in words is "two billion, forty-six million, fourteen thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 83 110 140 154 166 220 308 332 385 415 581 770 830 913 1162 1540 1660 1826 2324 2905 3652 4565 5810 6391 9130 11620 12782 16007 18260 25564 31955 32014 63910 64028 80035 112049 127820 160070 176077 224098 320140 352154 448196 560245 704308 880385 1120490 1232539 1328581 1760770 2240980 2465078 2657162 3521540 4930156 5314324 6162695 6642905 9300067 12325390 13285810 14614391 18600134 24650780 26571620 29228782 37200268 46500335 58457564 73071955 93000670 102300737 146143910 186001340 204601474 292287820 409202948 511503685 1023007370 2046014740