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3020820992 = 29723472
BaseRepresentation
bin1011010000001110…
…0001001000000000
321210112012121100222
42310003201020000
522141312232432
61215430402212
7134600361200
oct26403411000
97715177328
103020820992
1113101a1582
12703800368
13391ac4557
142092a6400
1512a308112
hexb40e1200

3020820992 has 90 divisors (see below), whose sum is σ = 7041461427. Its totient is φ = 1290906624.

The previous prime is 3020820991. The next prime is 3020820997. The reversal of 3020820992 is 2990280203.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1510410496 + 1510410496 = 38864^2 + 38864^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=38864.

It is not an unprimeable number, because it can be changed into a prime (3020820991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8705363 + ... + 8705709.

Almost surely, 23020820992 is an apocalyptic number.

3020820992 is a gapful number since it is divisible by the number (32) 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 3020820992

3020820992 is an abundant number, since it is smaller than the sum of its proper divisors (4020640435).

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

3020820992 is an frugal number, since it uses more digits than its factorization.

3020820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 3020820992 is about 54961.9958880680. The cubic root of 3020820992 is about 1445.5784439565.

The spelling of 3020820992 in words is "three billion, twenty million, eight hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 347 392 448 512 694 784 896 1388 1568 1792 2429 2776 3136 3584 4858 5552 6272 9716 11104 12544 17003 19432 22208 25088 34006 38864 44416 68012 77728 88832 120409 136024 155456 177664 240818 272048 310912 481636 544096 621824 842863 963272 1088192 1243648 1685726 1926544 2176384 3371452 3853088 4352768 5900041 6742904 7706176 8705536 11800082 13485808 15412352 23600164 26971616 30824704 47200328 53943232 61649408 94400656 107886464 188801312 215772928 377602624 431545856 755205248 1510410496 3020820992