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1120011424 = 25721933701
BaseRepresentation
bin100001011000010…
…0000010010100000
32220001111110211121
41002300200102200
54243210331144
6303045422024
736516640300
oct10260402240
92801443747
101120011424
11525243184
1227310a914
1314b06936c
14a8a6b600
15684da384
hex42c204a0

1120011424 has 72 divisors (see below), whose sum is σ = 2579013108. Its totient is φ = 477388800.

The previous prime is 1120011419. The next prime is 1120011469. The reversal of 1120011424 is 4241100211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1082410000 + 37601424 = 32900^2 + 6132^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1120011398 and 1120011407.

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, 300774 + ... + 304474.

Almost surely, 21120011424 is an apocalyptic number.

1120011424 is a gapful number since it is divisible by the number (14) 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 1120011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289506554).

1120011424 is an abundant number, since it is smaller than the sum of its proper divisors (1459001684).

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

1120011424 is a wasteful number, since it uses less digits than its factorization.

1120011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1120011424 is about 33466.5717395732. The cubic root of 1120011424 is about 1038.5023512542.

Adding to 1120011424 its reverse (4241100211), we get a palindrome (5361111635).

The spelling of 1120011424 in words is "one billion, one hundred twenty million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 193 196 224 386 392 772 784 1351 1544 1568 2702 3088 3701 5404 6176 7402 9457 10808 14804 18914 21616 25907 29608 37828 43232 51814 59216 75656 103628 118432 151312 181349 207256 302624 362698 414512 714293 725396 829024 1428586 1450792 2857172 2901584 5000051 5714344 5803168 10000102 11428688 20000204 22857376 35000357 40000408 70000714 80000816 140001428 160001632 280002856 560005712 1120011424