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1048672020 = 22351112712511
BaseRepresentation
bin111110100000010…
…111011100010100
32201002021001120110
4332200113130110
54121430001040
6252020403020
734662364554
oct7640273424
92632231513
101048672020
11498a478a0
12253246470
1313934bcb6
149d3bb164
15620e7980
hex3e817714

1048672020 has 96 divisors (see below), whose sum is σ = 3228696576. Its totient is φ = 252201600.

The previous prime is 1048671989. The next prime is 1048672063. The reversal of 1048672020 is 202768401.

1048672020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 77565 + ... + 90075.

It is an arithmetic number, because the mean of its divisors is an integer number (33632256).

Almost surely, 21048672020 is an apocalyptic number.

1048672020 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 1048672020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614348288).

1048672020 is an abundant number, since it is smaller than the sum of its proper divisors (2180024556).

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

1048672020 is a wasteful number, since it uses less digits than its factorization.

1048672020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12661 (or 12659 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1048672020 is about 32383.2058326534. The cubic root of 1048672020 is about 1015.9676826991.

The spelling of 1048672020 in words is "one billion, forty-eight million, six hundred seventy-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 127 132 165 220 254 330 381 508 635 660 762 1270 1397 1524 1905 2540 2794 3810 4191 5588 6985 7620 8382 12511 13970 16764 20955 25022 27940 37533 41910 50044 62555 75066 83820 125110 137621 150132 187665 250220 275242 375330 412863 550484 688105 750660 825726 1376210 1588897 1651452 2064315 2752420 3177794 4128630 4766691 6355588 7944485 8257260 9533382 15888970 17477867 19066764 23833455 31777940 34955734 47666910 52433601 69911468 87389335 95333820 104867202 174778670 209734404 262168005 349557340 524336010 1048672020