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1122020640 = 253351319979
BaseRepresentation
bin100001011100000…
…1010110100100000
32220012021112222000
41002320022310200
54244214130030
6303200444000
736543006126
oct10270126440
92805245860
101122020640
11526395794
12273919600
1314b5c0a50
14a9031916
1568785860
hex42e0ad20

1122020640 has 192 divisors, whose sum is σ = 4229366400. Its totient is φ = 276175872.

The previous prime is 1122020593. The next prime is 1122020651. The reversal of 1122020640 is 460202211.

1122020640 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 0 + 20 + 640 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46171 + ... + 66149.

It is an arithmetic number, because the mean of its divisors is an integer number (22027950).

Almost surely, 21122020640 is an apocalyptic number.

1122020640 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 1122020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114683200).

1122020640 is an abundant number, since it is smaller than the sum of its proper divisors (3107345760).

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

1122020640 is a wasteful number, since it uses less digits than its factorization.

1122020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20016 (or 20002 counting only the distinct ones).

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

The square root of 1122020640 is about 33496.5765414915. The cubic root of 1122020640 is about 1039.1229785734.

Adding to 1122020640 its reverse (460202211), we get a palindrome (1582222851).

The spelling of 1122020640 in words is "one billion, one hundred twenty-two million, twenty thousand, six hundred forty".