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1020054464 = 261113227491
BaseRepresentation
bin111100110011001…
…100101111000000
32122002102010122222
4330303030233000
54042113220324
6245115150212
734164214502
oct7463145700
92562363588
101020054464
11483881020
12245745368
1313343c330
149968bd72
155e84355e
hex3ccccbc0

1020054464 has 112 divisors (see below), whose sum is σ = 2393387136. Its totient is φ = 425241600.

The previous prime is 1020054407. The next prime is 1020054491. The reversal of 1020054464 is 4644500201.

1020054464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10200544642 = 2081022219052654592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2077259 + ... + 2077749.

It is an arithmetic number, because the mean of its divisors is an integer number (21369528).

Almost surely, 21020054464 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 1020054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196693568).

1020054464 is an abundant number, since it is smaller than the sum of its proper divisors (1373332672).

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

1020054464 is a wasteful number, since it uses less digits than its factorization.

1020054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1020054464 is about 31938.2915009554. The cubic root of 1020054464 is about 1006.6406258096.

Adding to 1020054464 its reverse (4644500201), we get a palindrome (5664554665).

The spelling of 1020054464 in words is "one billion, twenty million, fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 227 286 352 416 454 491 572 704 832 908 982 1144 1816 1964 2288 2497 2951 3632 3928 4576 4994 5401 5902 6383 7264 7856 9152 9988 10802 11804 12766 14528 15712 19976 21604 23608 25532 31424 32461 39952 43208 47216 51064 64922 70213 79904 86416 94432 102128 111457 129844 140426 159808 172832 188864 204256 222914 259688 280852 345664 408512 445828 519376 561704 891656 1038752 1123408 1226027 1448941 1783312 2077504 2246816 2452054 2897882 3566624 4493632 4904108 5795764 7133248 9808216 11591528 15938351 19616432 23183056 31876702 39232864 46366112 63753404 78465728 92732224 127506808 255013616 510027232 1020054464