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1044100020 = 2235731271877
BaseRepresentation
bin111110001110111…
…011001110110100
32200202122202222010
4332032323032310
54114242200040
6251334404220
734605463245
oct7616731664
92622582863
101044100020
11496404887
12251800670
1313840ac82
149c94accc
15619e2e80
hex3e3bb3b4

1044100020 has 96 divisors (see below), whose sum is σ = 2988453888. Its totient is φ = 272305152.

The previous prime is 1044100009. The next prime is 1044100087. The reversal of 1044100020 is 200014401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1044099969 and 1044100005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555322 + ... + 557198.

It is an arithmetic number, because the mean of its divisors is an integer number (31129728).

Almost surely, 21044100020 is an apocalyptic number.

1044100020 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 1044100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494226944).

1044100020 is an abundant number, since it is smaller than the sum of its proper divisors (1944353868).

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

1044100020 is a wasteful number, since it uses less digits than its factorization.

1044100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1044100020 is about 32312.5365763816. The cubic root of 1044100020 is about 1014.4890599000.

Adding to 1044100020 its reverse (200014401), we get a palindrome (1244114421).

The spelling of 1044100020 in words is "one billion, forty-four million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 127 146 219 254 292 365 381 438 508 635 730 762 876 1095 1270 1460 1524 1877 1905 2190 2540 3754 3810 4380 5631 7508 7620 9271 9385 11262 18542 18770 22524 27813 28155 37084 37540 46355 55626 56310 92710 111252 112620 137021 139065 185420 238379 274042 278130 411063 476758 548084 556260 685105 715137 822126 953516 1191895 1370210 1430274 1644252 2055315 2383790 2740420 2860548 3575685 4110630 4767580 7151370 8221260 14302740 17401667 34803334 52205001 69606668 87008335 104410002 174016670 208820004 261025005 348033340 522050010 1044100020