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2080683480 = 23351071311237
BaseRepresentation
bin111110000000100…
…1011010111011000
312101000011200011010
41330001023113120
513230123332410
6542244133520
7102363342411
oct17401132730
95330150133
102080683480
11978545327
124a09972a0
132720b6875
1415a49c808
15c29edc20
hex7c04b5d8

2080683480 has 128 divisors (see below), whose sum is σ = 6353614080. Its totient is φ = 545026560.

The previous prime is 2080683469. The next prime is 2080683497. The reversal of 2080683480 is 843860802.

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, 1681422 + ... + 1682658.

It is an arithmetic number, because the mean of its divisors is an integer number (49637610).

Almost surely, 22080683480 is an apocalyptic number.

2080683480 is a gapful number since it is divisible by the number (20) 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 2080683480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176807040).

2080683480 is an abundant number, since it is smaller than the sum of its proper divisors (4272930600).

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

2080683480 is a wasteful number, since it uses less digits than its factorization.

2080683480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2080683480 is about 45614.5095336999. The cubic root of 2080683480 is about 1276.6406622179.

The spelling of 2080683480 in words is "two billion, eighty million, six hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 131 214 262 321 393 428 524 535 642 655 786 856 1048 1070 1237 1284 1310 1572 1605 1965 2140 2474 2568 2620 3144 3210 3711 3930 4280 4948 5240 6185 6420 7422 7860 9896 12370 12840 14017 14844 15720 18555 24740 28034 29688 37110 42051 49480 56068 70085 74220 84102 112136 132359 140170 148440 162047 168204 210255 264718 280340 324094 336408 397077 420510 486141 529436 560680 648188 661795 794154 810235 841020 972282 1058872 1296376 1323590 1588308 1620470 1682040 1944564 1985385 2430705 2647180 3176616 3240940 3889128 3970770 4861410 5294360 6481880 7941540 9722820 15883080 17339029 19445640 34678058 52017087 69356116 86695145 104034174 138712232 173390290 208068348 260085435 346780580 416136696 520170870 693561160 1040341740 2080683480