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12641220 = 2232570229
BaseRepresentation
bin110000001110…
…001111000100
3212210020111100
4300032033010
511214004340
61130540100
7212306604
oct60161704
925706440
1012641220
117154599
124297630
132807b17
141970c04
15119a830
hexc0e3c4

12641220 has 36 divisors (see below), whose sum is σ = 38345580. Its totient is φ = 3370944.

The previous prime is 12641203. The next prime is 12641249. The reversal of 12641220 is 2214621.

12641220 is a `hidden beast` number, since 1 + 2 + 641 + 2 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 2604996 = 3168^2 + 1614^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12641193 and 12641202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34935 + ... + 35294.

It is an arithmetic number, because the mean of its divisors is an integer number (1065155).

Almost surely, 212641220 is an apocalyptic number.

12641220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12641220 is an abundant number, since it is smaller than the sum of its proper divisors (25704360).

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

12641220 is a wasteful number, since it uses less digits than its factorization.

12641220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70244 (or 70239 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12641220 is about 3555.4493386912. The cubic root of 12641220 is about 232.9501511244.

Adding to 12641220 its reverse (2214621), we get a palindrome (14855841).

The spelling of 12641220 in words is "twelve million, six hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 70229 140458 210687 280916 351145 421374 632061 702290 842748 1053435 1264122 1404580 2106870 2528244 3160305 4213740 6320610 12641220