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2120032680 = 233558730097
BaseRepresentation
bin111111001011101…
…0010000110101000
312110202012211002220
41332113102012220
513320212021210
6550211354040
7103351660203
oct17627220650
95422184086
102120032680
11998780a27
124b1bb2920
1327a2b310c
141617c293a
15c61c2c70
hex7e5d21a8

2120032680 has 64 divisors (see below), whose sum is σ = 6371144640. Its totient is φ = 564360192.

The previous prime is 2120032661. The next prime is 2120032687. The reversal of 2120032680 is 862300212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2120032680.

It is not an unprimeable number, because it can be changed into a prime (2120032687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55392 + ... + 85488.

It is an arithmetic number, because the mean of its divisors is an integer number (99549135).

Almost surely, 22120032680 is an apocalyptic number.

2120032680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120032680 is an abundant number, since it is smaller than the sum of its proper divisors (4251111960).

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

2120032680 is a wasteful number, since it uses less digits than its factorization.

2120032680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30698 (or 30694 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2120032680 is about 46043.8126136401. The cubic root of 2120032680 is about 1284.6382585846.

Adding to 2120032680 its reverse (862300212), we get a palindrome (2982332892).

The spelling of 2120032680 in words is "two billion, one hundred twenty million, thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 587 1174 1761 2348 2935 3522 4696 5870 7044 8805 11740 14088 17610 23480 30097 35220 60194 70440 90291 120388 150485 180582 240776 300970 361164 451455 601940 722328 902910 1203880 1805820 3611640 17666939 35333878 53000817 70667756 88334695 106001634 141335512 176669390 212003268 265004085 353338780 424006536 530008170 706677560 1060016340 2120032680