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1054442420 = 2255321372
BaseRepresentation
bin111110110110011…
…000001110110100
32201111010020001222
4332312120032310
54124414124140
6252344205512
735062420103
oct7666301664
92644106058
101054442420
114a1229219
12255169898
1313a5bc635
14a008003a
15628875b5
hex3ed983b4

1054442420 has 54 divisors (see below), whose sum is σ = 2273491122. Its totient is φ = 410798336.

The previous prime is 1054442419. The next prime is 1054442423. The reversal of 1054442420 is 242444501.

It can be written as a sum of positive squares in 9 ways, for example, as 22619536 + 1031822884 = 4756^2 + 32122^2 .

It is a super-2 number, since 2×10544424202 = 2223697634190912800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1054442420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054442423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7696592 + ... + 7696728.

Almost surely, 21054442420 is an apocalyptic number.

1054442420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054442420 is an abundant number, since it is smaller than the sum of its proper divisors (1219048702).

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

1054442420 is an equidigital number, since it uses as much as digits as its factorization.

1054442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 1054442420 is about 32472.1791692519. The cubic root of 1054442420 is about 1017.8277557337.

Multiplying 1054442420 by its product of nonzero digits (5120), we get a square (5398745190400 = 23235202).

Adding to 1054442420 its reverse (242444501), we get a palindrome (1296886921).

The spelling of 1054442420 in words is "one billion, fifty-four million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 137 212 265 274 530 548 685 1060 1370 2740 2809 5618 7261 11236 14045 14522 18769 28090 29044 36305 37538 56180 72610 75076 93845 145220 187690 375380 384833 769666 994757 1539332 1924165 1989514 3848330 3979028 4973785 7696660 9947570 19895140 52722121 105444242 210888484 263610605 527221210 1054442420