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1242124016 = 247231393469
BaseRepresentation
bin100101000001001…
…0100111011110000
310012120021102211012
41022002110323300
510020440432031
6323131010052
742531610550
oct11202247360
93176242735
101242124016
11588168181
122a7b99928
1316a452a33
14bad77160
15740abb2b
hex4a094ef0

1242124016 has 80 divisors (see below), whose sum is σ = 2891481600. Its totient is φ = 505384704.

The previous prime is 1242124007. The next prime is 1242124021. The reversal of 1242124016 is 6104212421.

It is a super-2 number, since 2×12421240162 = 3085744142247936512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1242123982 and 1242124000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356330 + ... + 359798.

It is an arithmetic number, because the mean of its divisors is an integer number (36143520).

Almost surely, 21242124016 is an apocalyptic number.

1242124016 is a gapful number since it is divisible by the number (16) 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 1242124016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445740800).

1242124016 is an abundant number, since it is smaller than the sum of its proper divisors (1649357584).

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

1242124016 is a wasteful number, since it uses less digits than its factorization.

1242124016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1242124016 is about 35243.7798199909. The cubic root of 1242124016 is about 1074.9501375106.

Adding to 1242124016 its reverse (6104212421), we get a palindrome (7346336437).

The spelling of 1242124016 in words is "one billion, two hundred forty-two million, one hundred twenty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 139 161 184 278 322 368 556 644 973 1112 1288 1946 2224 2576 3197 3469 3892 6394 6938 7784 12788 13876 15568 22379 24283 25576 27752 44758 48566 51152 55504 79787 89516 97132 159574 179032 194264 319148 358064 388528 482191 558509 638296 964382 1117018 1276592 1928764 2234036 3375337 3857528 4468072 6750674 7715056 8936144 11090393 13501348 22180786 27002696 44361572 54005392 77632751 88723144 155265502 177446288 310531004 621062008 1242124016