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1011424020 = 223547596079
BaseRepresentation
bin111100010010010…
…001101100010100
32121111011122220220
4330102101230110
54032411032040
6244210154340
734030651035
oct7422215424
92544148826
101011424020
11479a16922
122428829b0
13131709c69
1498482a8c
155dbdb2d0
hex3c491b14

1011424020 has 96 divisors (see below), whose sum is σ = 2941747200. Its totient is φ = 259457664.

The previous prime is 1011424019. The next prime is 1011424021. The reversal of 1011424020 is 204241101.

It is an interprime number because it is at equal distance from previous prime (1011424019) and next prime (1011424021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011424021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 163341 + ... + 169419.

It is an arithmetic number, because the mean of its divisors is an integer number (30643200).

Almost surely, 21011424020 is an apocalyptic number.

1011424020 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 1011424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470873600).

1011424020 is an abundant number, since it is smaller than the sum of its proper divisors (1930323180).

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

1011424020 is a wasteful number, since it uses less digits than its factorization.

1011424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1011424020 is about 31802.8932646072. The cubic root of 1011424020 is about 1003.7935970894.

Adding to 1011424020 its reverse (204241101), we get a palindrome (1215665121).

The spelling of 1011424020 in words is "one billion, eleven million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 59 60 94 118 141 177 188 235 236 282 295 354 470 564 590 705 708 885 940 1180 1410 1770 2773 2820 3540 5546 6079 8319 11092 12158 13865 16638 18237 24316 27730 30395 33276 36474 41595 55460 60790 72948 83190 91185 121580 166380 182370 285713 358661 364740 571426 717322 857139 1075983 1142852 1428565 1434644 1714278 1793305 2151966 2857130 3428556 3586610 4285695 4303932 5379915 5714260 7173220 8571390 10759830 16857067 17142780 21519660 33714134 50571201 67428268 84285335 101142402 168570670 202284804 252856005 337141340 505712010 1011424020