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2120404146 = 23727212259
BaseRepresentation
bin111111001100010…
…1100110010110010
312110202220200122220
41332120230302302
513320310413041
6550223341510
7103355065200
oct17630546262
95422820586
102120404146
11998a05023
124b2151896
1327a3b3213
1416187c070
15c6247d66
hex7e62ccb2

2120404146 has 24 divisors (see below), whose sum is σ = 4933185840. Its totient is φ = 605829672.

The previous prime is 2120404133. The next prime is 2120404147. The reversal of 2120404146 is 6414040212.

It is a happy number.

It is a super-2 number, since 2×21204041462 = 8992227484747978632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120404147) 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 11 ways as a sum of consecutive naturals, for example, 3605836 + ... + 3606423.

It is an arithmetic number, because the mean of its divisors is an integer number (205549410).

Almost surely, 22120404146 is an apocalyptic number.

2120404146 is an abundant number, since it is smaller than the sum of its proper divisors (2812781694).

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

2120404146 is a wasteful number, since it uses less digits than its factorization.

2120404146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212278 (or 7212271 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2120404146 is about 46047.8462688539. The cubic root of 2120404146 is about 1284.7132844040.

Adding to 2120404146 its reverse (6414040212), we get a palindrome (8534444358).

The spelling of 2120404146 in words is "two billion, one hundred twenty million, four hundred four thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 7212259 14424518 21636777 43273554 50485813 100971626 151457439 302914878 353400691 706801382 1060202073 2120404146