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1020241024 = 27112193467
BaseRepresentation
bin111100110011111…
…010010010000000
32122002202121120121
4330303322102000
54042140203044
6245123150024
734165622425
oct7463722200
92562677517
101020241024
11483999200
12245815314
131334a621a
14996d9d4c
155e87d984
hex3ccfa480

1020241024 has 96 divisors (see below), whose sum is σ = 2352344400. Its totient is φ = 439211520.

The previous prime is 1020241021. The next prime is 1020241037. The reversal of 1020241024 is 4201420201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1020240989 and 1020241007.

It is not an unprimeable number, because it can be changed into a prime (1020241021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292539 + ... + 296005.

Almost surely, 21020241024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176172200).

1020241024 is an abundant number, since it is smaller than the sum of its proper divisors (1332103376).

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

1020241024 is a wasteful number, since it uses less digits than its factorization.

1020241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1020241024 is about 31941.2119995469. The cubic root of 1020241024 is about 1006.7019909733.

Adding to 1020241024 its reverse (4201420201), we get a palindrome (5221661225).

The spelling of 1020241024 in words is "one billion, twenty million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 121 128 152 176 209 242 304 352 418 484 608 704 836 968 1216 1408 1672 1936 2299 2432 3344 3467 3872 4598 6688 6934 7744 9196 13376 13868 15488 18392 26752 27736 36784 38137 55472 65873 73568 76274 110944 131746 147136 152548 221888 263492 294272 305096 419507 443776 526984 610192 724603 839014 1053968 1220384 1449206 1678028 2107936 2440768 2898412 3356056 4215872 4881536 5796824 6712112 7970633 8431744 11593648 13424224 15941266 23187296 26848448 31882532 46374592 53696896 63765064 92749184 127530128 255060256 510120512 1020241024