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2069087760 = 243354322277
BaseRepresentation
bin111101101010011…
…1100011000010000
312100012100112211000
41323110330120100
513214141302020
6541151422000
7102162645555
oct17324743020
95305315730
102069087760
11971a45293
12498b24900
1326c8868ac
14158b20a2c
15c19ad090
hex7b53c610

2069087760 has 160 divisors (see below), whose sum is σ = 7292926080. Its totient is φ = 538900992.

The previous prime is 2069087747. The next prime is 2069087789. The reversal of 2069087760 is 677809602.

It is a happy number.

It is a super-2 number, since 2×20690877602 = 8562248317163635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 81742 + ... + 104018.

It is an arithmetic number, because the mean of its divisors is an integer number (45580788).

Almost surely, 22069087760 is an apocalyptic number.

2069087760 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 2069087760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646463040).

2069087760 is an abundant number, since it is smaller than the sum of its proper divisors (5223838320).

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

2069087760 is a wasteful number, since it uses less digits than its factorization.

2069087760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22342 (or 22330 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2069087760 is about 45487.2263388306. The cubic root of 2069087760 is about 1274.2646555632.

The spelling of 2069087760 in words is "two billion, sixty-nine million, eighty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 43 45 48 54 60 72 80 86 90 108 120 129 135 144 172 180 215 216 240 258 270 344 360 387 430 432 516 540 645 688 720 774 860 1032 1080 1161 1290 1548 1720 1935 2064 2160 2322 2580 3096 3440 3870 4644 5160 5805 6192 7740 9288 10320 11610 15480 18576 22277 23220 30960 44554 46440 66831 89108 92880 111385 133662 178216 200493 222770 267324 334155 356432 400986 445540 534648 601479 668310 801972 891080 957911 1002465 1069296 1202958 1336620 1603944 1782160 1915822 2004930 2405916 2673240 2873733 3007395 3207888 3831644 4009860 4789555 4811832 5346480 5747466 6014790 7663288 8019720 8621199 9579110 9623664 11494932 12029580 14368665 15326576 16039440 17242398 19158220 22989864 24059160 25863597 28737330 34484796 38316440 43105995 45979728 48118320 51727194 57474660 68969592 76632880 86211990 103454388 114949320 129317985 137939184 172423980 206908776 229898640 258635970 344847960 413817552 517271940 689695920 1034543880 2069087760