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1726420680 = 233254795613
BaseRepresentation
bin110011011100111…
…0001011011001000
311110022120020221200
41212321301123020
512013430430210
6443151104200
760532222305
oct14671613310
94408506850
101726420680
11806579456
12402212060
1321689a2ca
141254020ac
15a18720c0
hex66e716c8

1726420680 has 48 divisors (see below), whose sum is σ = 5610868380. Its totient is φ = 460378752.

The previous prime is 1726420643. The next prime is 1726420681. The reversal of 1726420680 is 860246271.

1726420680 is a `hidden beast` number, since 1 + 7 + 2 + 642 + 0 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1648522404 + 77898276 = 40602^2 + 8826^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1726420681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2397447 + ... + 2398166.

Almost surely, 21726420680 is an apocalyptic number.

1726420680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1726420680 is an abundant number, since it is smaller than the sum of its proper divisors (3884447700).

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

1726420680 is a wasteful number, since it uses less digits than its factorization.

1726420680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4795630 (or 4795623 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1726420680 is about 41550.2187719872. The cubic root of 1726420680 is about 1199.6343052341.

The spelling of 1726420680 in words is "one billion, seven hundred twenty-six million, four hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4795613 9591226 14386839 19182452 23978065 28773678 38364904 43160517 47956130 57547356 71934195 86321034 95912260 115094712 143868390 172642068 191824520 215802585 287736780 345284136 431605170 575473560 863210340 1726420680