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2162672680 = 2357172915667
BaseRepresentation
bin1000000011100111…
…1100010000101000
312120201110011012011
42000321330100220
513412121011210
6554333325304
7104410262110
oct20071742050
95521404164
102162672680
11a0a854aa3
12504336834
1328609249c
14167322040
15c9ce6d8a
hex80e7c428

2162672680 has 128 divisors (see below), whose sum is σ = 6091718400. Its totient is φ = 673763328.

The previous prime is 2162672641. The next prime is 2162672683. The reversal of 2162672680 is 862762612.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2162672683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130207 + ... + 145873.

It is an arithmetic number, because the mean of its divisors is an integer number (47591550).

Almost surely, 22162672680 is an apocalyptic number.

2162672680 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 2162672680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045859200).

2162672680 is an abundant number, since it is smaller than the sum of its proper divisors (3929045720).

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

2162672680 is a wasteful number, since it uses less digits than its factorization.

2162672680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15731 (or 15727 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 2162672680 is about 46504.5447241450. The cubic root of 2162672680 is about 1293.1937530192.

The spelling of 2162672680 in words is "two billion, one hundred sixty-two million, six hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 29 34 35 40 56 58 68 70 85 116 119 136 140 145 170 203 232 238 280 290 340 406 476 493 580 595 680 812 952 986 1015 1160 1190 1624 1972 2030 2380 2465 3451 3944 4060 4760 4930 6902 8120 9860 13804 15667 17255 19720 27608 31334 34510 62668 69020 78335 109669 125336 138040 156670 219338 266339 313340 438676 454343 532678 548345 626680 877352 908686 1065356 1096690 1331695 1817372 1864373 2130712 2193380 2271715 2663390 3180401 3634744 3728746 4386760 4543430 5326780 6360802 7457492 7723831 9086860 9321865 10653560 12721604 14914984 15447662 15902005 18173720 18643730 25443208 30895324 31804010 37287460 38619155 54066817 61790648 63608020 74574920 77238310 108133634 127216040 154476620 216267268 270334085 308953240 432534536 540668170 1081336340 2162672680