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2074185640 = 235173538641
BaseRepresentation
bin111101110100001…
…1000111110101000
312100112221112210101
41323220120332220
513221442420030
6541452555144
7102254200312
oct17350307650
95315845711
102074185640
1197490740a
1249a782ab4
132709500a7
1415968a7b2
15c21687ca
hex7ba18fa8

2074185640 has 64 divisors (see below), whose sum is σ = 4956014160. Its totient is φ = 778567680.

The previous prime is 2074185599. The next prime is 2074185643. The reversal of 2074185640 is 465814702.

It can be written as a sum of positive squares in 8 ways, for example, as 487438084 + 1586747556 = 22078^2 + 39834^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2074185640.

It is not an unprimeable number, because it can be changed into a prime (2074185643) 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 15 ways as a sum of consecutive naturals, for example, 235720 + ... + 244360.

Almost surely, 22074185640 is an apocalyptic number.

2074185640 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 2074185640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478007080).

2074185640 is an abundant number, since it is smaller than the sum of its proper divisors (2881828520).

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

2074185640 is a wasteful number, since it uses less digits than its factorization.

2074185640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9022 (or 9018 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 2074185640 is about 45543.2282562402. The cubic root of 2074185640 is about 1275.3103209793.

The spelling of 2074185640 in words is "two billion, seventy-four million, one hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 353 680 706 1412 1765 2824 3530 6001 7060 8641 12002 14120 17282 24004 30005 34564 43205 48008 60010 69128 86410 120020 146897 172820 240040 293794 345640 587588 734485 1175176 1468970 2937940 3050273 5875880 6100546 12201092 15251365 24402184 30502730 51854641 61005460 103709282 122010920 207418564 259273205 414837128 518546410 1037092820 2074185640