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1028706120 = 2332513219809
BaseRepresentation
bin111101010100001…
…100111101001000
32122200200200111200
4331110030331020
54101322043440
6250024424200
734330600131
oct7524147510
92580620450
101028706120
11488750152
12248618060
1313517b260
149a8a0c88
15604a1c30
hex3d50cf48

1028706120 has 96 divisors (see below), whose sum is σ = 3600487800. Its totient is φ = 253218816.

The previous prime is 1028706103. The next prime is 1028706121. The reversal of 1028706120 is 216078201.

1028706120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 262634436 + 766071684 = 16206^2 + 27678^2 .

It is not an unprimeable number, because it can be changed into a prime (1028706121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105225 + ... + 114584.

Almost surely, 21028706120 is an apocalyptic number.

1028706120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028706120 is an abundant number, since it is smaller than the sum of its proper divisors (2571781680).

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

1028706120 is a wasteful number, since it uses less digits than its factorization.

1028706120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219839 (or 219832 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1028706120 is about 32073.4488323286. The cubic root of 1028706120 is about 1009.4785793376.

The spelling of 1028706120 in words is "one billion, twenty-eight million, seven hundred six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 219809 439618 659427 879236 1099045 1318854 1758472 1978281 2198090 2637708 2857517 3297135 3956562 4396180 5275416 5715034 6594270 7913124 8572551 8792360 9891405 11430068 13188540 14287585 15826248 17145102 19782810 22860136 25717653 26377080 28575170 34290204 39565620 42862755 51435306 57150340 68580408 79131240 85725510 102870612 114300680 128588265 171451020 205741224 257176530 342902040 514353060 1028706120