Search a number
-
+
1026948060 = 2232517931873
BaseRepresentation
bin111101001101011…
…111101111011100
32122120101100220100
4331031133233130
54100344314220
6245523021100
734306625445
oct7515375734
92576340810
101026948060
1148775a306
12247b0a790
131349b3c98
149a5642cc
1560255d90
hex3d35fbdc

1026948060 has 72 divisors (see below), whose sum is σ = 3132576720. Its totient is φ = 272314368.

The previous prime is 1026948031. The next prime is 1026948077. The reversal of 1026948060 is 608496201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16284 + ... + 48156.

It is an arithmetic number, because the mean of its divisors is an integer number (43508010).

Almost surely, 21026948060 is an apocalyptic number.

1026948060 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 1026948060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566288360).

1026948060 is an abundant number, since it is smaller than the sum of its proper divisors (2105628660).

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

1026948060 is a wasteful number, since it uses less digits than its factorization.

1026948060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32067 (or 32062 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1026948060 is about 32046.0303313843. The cubic root of 1026948060 is about 1008.9031847264.

The spelling of 1026948060 in words is "one billion, twenty-six million, nine hundred forty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 537 716 895 1074 1611 1790 2148 2685 3222 3580 5370 6444 8055 10740 16110 31873 32220 63746 95619 127492 159365 191238 286857 318730 382476 478095 573714 637460 956190 1147428 1434285 1912380 2868570 5705267 5737140 11410534 17115801 22821068 28526335 34231602 51347403 57052670 68463204 85579005 102694806 114105340 171158010 205389612 256737015 342316020 513474030 1026948060