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1001426040 = 233253897151
BaseRepresentation
bin111011101100001…
…000110001111000
32120210100201021100
4323230020301320
54022331113130
6243212011400
733546660306
oct7354106170
92523321240
101001426040
1147430822a
1223b460b60
1312c6192b4
1496ddd276
155cdb3c60
hex3bb08c78

1001426040 has 96 divisors (see below), whose sum is σ = 3263457600. Its totient is φ = 266323200.

The previous prime is 1001426033. The next prime is 1001426047. The reversal of 1001426040 is 406241001.

1001426040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1001426033) and next prime (1001426047).

It is a super-2 number, since 2×10014260402 = 2005708227180163200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001426047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136465 + ... + 143615.

It is an arithmetic number, because the mean of its divisors is an integer number (33994350).

Almost surely, 21001426040 is an apocalyptic number.

1001426040 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 1001426040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631728800).

1001426040 is an abundant number, since it is smaller than the sum of its proper divisors (2262031560).

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

1001426040 is a wasteful number, since it uses less digits than its factorization.

1001426040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557 (or 7550 counting only the distinct ones).

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

The square root of 1001426040 is about 31645.3162411122. The cubic root of 1001426040 is about 1000.4751208911.

Adding to 1001426040 its reverse (406241001), we get a palindrome (1407667041).

The spelling of 1001426040 in words is "one billion, one million, four hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 389 778 1167 1556 1945 2334 3112 3501 3890 4668 5835 7002 7151 7780 9336 11670 14004 14302 15560 17505 21453 23340 28008 28604 35010 35755 42906 46680 57208 64359 70020 71510 85812 107265 128718 140040 143020 171624 214530 257436 286040 321795 429060 514872 643590 858120 1287180 2574360 2781739 5563478 8345217 11126956 13908695 16690434 22253912 25035651 27817390 33380868 41726085 50071302 55634780 66761736 83452170 100142604 111269560 125178255 166904340 200285208 250356510 333808680 500713020 1001426040