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7126042420 = 225759911947
BaseRepresentation
bin1101010001011111…
…01100011100110100
3200101121220110111001
412220233230130310
5104043231324140
63135035453044
7341406234610
oct65057543464
920347813431
107126042420
113027513162
12146a5b7184
13897467263
144b85aa340
152ba914e9a
hex1a8bec734

7126042420 has 96 divisors (see below), whose sum is σ = 17429852160. Its totient is φ = 2396634240.

The previous prime is 7126042379. The next prime is 7126042423. The reversal of 7126042420 is 242406217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7126042423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7524387 + ... + 7525333.

It is an arithmetic number, because the mean of its divisors is an integer number (181560960).

Almost surely, 27126042420 is an apocalyptic number.

7126042420 is a gapful number since it is divisible by the number (70) 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 7126042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714926080).

7126042420 is an abundant number, since it is smaller than the sum of its proper divisors (10303809740).

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

7126042420 is a wasteful number, since it uses less digits than its factorization.

7126042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 7126042420 is about 84415.8896180097. The cubic root of 7126042420 is about 1924.3444032739.

Adding to 7126042420 its reverse (242406217), we get a palindrome (7368448637).

The spelling of 7126042420 in words is "seven billion, one hundred twenty-six million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 911 947 1180 1652 1822 1894 2065 3644 3788 4130 4555 4735 6377 6629 8260 9110 9470 12754 13258 18220 18940 25508 26516 31885 33145 53749 55873 63770 66290 107498 111746 127540 132580 214996 223492 268745 279365 376243 391111 537490 558730 752486 782222 862717 1074980 1117460 1504972 1564444 1725434 1881215 1955555 3450868 3762430 3911110 4313585 6039019 7524860 7822220 8627170 12078038 17254340 24156076 30195095 50900303 60390190 101800606 120780380 203601212 254501515 356302121 509003030 712604242 1018006060 1425208484 1781510605 3563021210 7126042420