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1028233260 = 2232519417333
BaseRepresentation
bin111101010010011…
…001100000101100
32122122210122212100
4331102121200230
54101211431020
6250010335100
734323560415
oct7522314054
92578718770
101028233260
1148845795a
1224842a490
13135043c62
149a7ba80c
156040ba90
hex3d49982c

1028233260 has 144 divisors (see below), whose sum is σ = 3363665760. Its totient is φ = 253393920.

The previous prime is 1028233247. The next prime is 1028233267. The reversal of 1028233260 is 623328201.

It is not an unprimeable number, because it can be changed into a prime (1028233267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136554 + ... + 143886.

It is an arithmetic number, because the mean of its divisors is an integer number (23358790).

Almost surely, 21028233260 is an apocalyptic number.

1028233260 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 1028233260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681832880).

1028233260 is an abundant number, since it is smaller than the sum of its proper divisors (2335432500).

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

1028233260 is a wasteful number, since it uses less digits than its factorization.

1028233260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1028233260 is about 32066.0764671950. The cubic root of 1028233260 is about 1009.3238817067.

The spelling of 1028233260 in words is "one billion, twenty-eight million, two hundred thirty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 41 45 57 60 76 82 90 95 114 123 164 171 180 190 205 228 246 285 342 369 380 410 492 570 615 684 738 779 820 855 1140 1230 1476 1558 1710 1845 2337 2460 3116 3420 3690 3895 4674 7011 7333 7380 7790 9348 11685 14022 14666 15580 21999 23370 28044 29332 35055 36665 43998 46740 65997 70110 73330 87996 109995 131994 139327 140220 146660 219990 263988 278654 300653 329985 417981 439980 557308 601306 659970 696635 835962 901959 1202612 1253943 1319940 1393270 1503265 1671924 1803918 2089905 2507886 2705877 2786540 3006530 3607836 4179810 4509795 5015772 5411754 5712407 6013060 6269715 8359620 9019590 10823508 11424814 12539430 13529385 17137221 18039180 22849628 25078860 27058770 28562035 34274442 51411663 54117540 57124070 68548884 85686105 102823326 114248140 171372210 205646652 257058315 342744420 514116630 1028233260