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1340053220 = 2251121732573
BaseRepresentation
bin100111111011111…
…1001011011100100
310110101112202102202
41033313321123210
510221023200340
6340545554032
745131156462
oct11767713344
93411482382
101340053220
11628474900
12314945918
1318481cacc
14c9d89832
157c9a2c15
hex4fdf96e4

1340053220 has 72 divisors (see below), whose sum is σ = 3275250552. Its totient is φ = 458613760.

The previous prime is 1340053201. The next prime is 1340053241. The reversal of 1340053220 is 223500431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19166884 + 1320886336 = 4378^2 + 36344^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1340053192 and 1340053201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24854 + ... + 57426.

It is an arithmetic number, because the mean of its divisors is an integer number (45489591).

Almost surely, 21340053220 is an apocalyptic number.

1340053220 is a gapful number since it is divisible by the number (10) 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 1340053220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637625276).

1340053220 is an abundant number, since it is smaller than the sum of its proper divisors (1935197332).

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

1340053220 is a wasteful number, since it uses less digits than its factorization.

1340053220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32621 (or 32608 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1340053220 is about 36606.7373580329. The cubic root of 1340053220 is about 1102.4883666929.

Adding to 1340053220 its reverse (223500431), we get a palindrome (1563553651).

The spelling of 1340053220 in words is "one billion, three hundred forty million, fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 8228 10285 20570 32573 41140 65146 130292 162865 325730 358303 553741 651460 716606 1107482 1433212 1791515 2214964 2768705 3583030 3941333 5537410 6091151 7166060 7882666 11074820 12182302 15765332 19706665 24364604 30455755 39413330 60911510 67002661 78826660 121823020 134005322 268010644 335013305 670026610 1340053220