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11420960 = 255411741
BaseRepresentation
bin101011100100…
…010100100000
3210111020121112
4223210110200
510410432320
61044442452
7166035155
oct53442440
923436545
1011420960
1164a0811
1239a9428
13249b585
14173422c
151008ec5
hexae4520

11420960 has 48 divisors (see below), whose sum is σ = 27655992. Its totient is φ = 4454400.

The previous prime is 11420947. The next prime is 11420971. The reversal of 11420960 is 6902411.

11420960 = T439 + T440 + ... + T534.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2155024 + 9265936 = 1468^2 + 3044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5690 + ... + 7430.

Almost surely, 211420960 is an apocalyptic number.

11420960 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 11420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827996).

11420960 is an abundant number, since it is smaller than the sum of its proper divisors (16235032).

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

11420960 is a wasteful number, since it uses less digits than its factorization.

11420960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 11420960 is about 3379.4910859477. The cubic root of 11420960 is about 225.1995595775.

The spelling of 11420960 in words is "eleven million, four hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 1741 3280 3482 6560 6964 8705 13928 17410 27856 34820 55712 69640 71381 139280 142762 278560 285524 356905 571048 713810 1142096 1427620 2284192 2855240 5710480 11420960