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1024021140 = 223531607907
BaseRepresentation
bin111101000010010…
…101001010010100
32122100212122220220
4331002111022110
54044122134030
6245340154340
734243015242
oct7502251224
92570778826
101024021140
1148604026a
12246b389b0
131341ca98c
149a001792
155ed78a10
hex3d095294

1024021140 has 96 divisors (see below), whose sum is σ = 2967896064. Its totient is φ = 263537280.

The previous prime is 1024021133. The next prime is 1024021181. The reversal of 1024021140 is 411204201.

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

It is a congruent number.

It is an unprimeable number.

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, 1128567 + ... + 1129473.

It is an arithmetic number, because the mean of its divisors is an integer number (30915584).

Almost surely, 21024021140 is an apocalyptic number.

1024021140 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 1024021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483948032).

1024021140 is an abundant number, since it is smaller than the sum of its proper divisors (1943874924).

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

1024021140 is a wasteful number, since it uses less digits than its factorization.

1024021140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1555 counting only the distinct ones).

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

The square root of 1024021140 is about 32000.3303107952. The cubic root of 1024021140 is about 1007.9437759960.

Adding to 1024021140 its reverse (411204201), we get a palindrome (1435225341).

The spelling of 1024021140 in words is "one billion, twenty-four million, twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 607 620 907 930 1214 1814 1821 1860 2428 2721 3035 3628 3642 4535 5442 6070 7284 9070 9105 10884 12140 13605 18140 18210 18817 27210 28117 36420 37634 54420 56234 56451 75268 84351 94085 112468 112902 140585 168702 188170 225804 281170 282255 337404 376340 421755 550549 562340 564510 843510 1101098 1129020 1651647 1687020 2202196 2752745 3303294 5505490 6606588 8258235 11010980 16516470 17067019 33032940 34134038 51201057 68268076 85335095 102402114 170670190 204804228 256005285 341340380 512010570 1024021140