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1028281020 = 2235134872707
BaseRepresentation
bin111101010010100…
…101001010111100
32122122220002101020
4331102211022330
54101214443040
6250011344140
734324146564
oct7522451274
92578802336
101028281020
1148848a828
12248452050
1313505c910
149a7cdda4
156041acd0
hex3d4a52bc

1028281020 has 96 divisors (see below), whose sum is σ = 3108177408. Its totient is φ = 252502272.

The previous prime is 1028280983. The next prime is 1028281031. The reversal of 1028281020 is 201828201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378507 + ... + 381213.

It is an arithmetic number, because the mean of its divisors is an integer number (32376848).

Almost surely, 21028281020 is an apocalyptic number.

1028281020 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 1028281020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554088704).

1028281020 is an abundant number, since it is smaller than the sum of its proper divisors (2079896388).

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

1028281020 is a wasteful number, since it uses less digits than its factorization.

1028281020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1028281020 is about 32066.8211707990. The cubic root of 1028281020 is about 1009.3395086934.

The spelling of 1028281020 in words is "one billion, twenty-eight million, two hundred eighty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 487 780 974 1461 1948 2435 2707 2922 4870 5414 5844 6331 7305 8121 9740 10828 12662 13535 14610 16242 18993 25324 27070 29220 31655 32484 35191 37986 40605 54140 63310 70382 75972 81210 94965 105573 126620 140764 162420 175955 189930 211146 351910 379860 422292 527865 703820 1055730 1318309 2111460 2636618 3954927 5273236 6591545 7909854 13183090 15819708 17138017 19774635 26366180 34276034 39549270 51414051 68552068 79098540 85690085 102828102 171380170 205656204 257070255 342760340 514140510 1028281020