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2106370056 = 233729191949
BaseRepresentation
bin111110110001100…
…1010100000001000
312102210111200111210
41331203022200020
513303212320211
6545002453120
7103124564400
oct17543124010
95383450453
102106370056
11990a99aaa
124a95041a0
1327750b41b
1415da67800
15c4dc49a6
hex7d8ca808

2106370056 has 96 divisors (see below), whose sum is σ = 6135480000. Its totient is φ = 600856704.

The previous prime is 2106370027. The next prime is 2106370067. The reversal of 2106370056 is 6500736012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1079770 + ... + 1081718.

It is an arithmetic number, because the mean of its divisors is an integer number (63911250).

Almost surely, 22106370056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106370056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067740000).

2106370056 is an abundant number, since it is smaller than the sum of its proper divisors (4029109944).

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

2106370056 is a wasteful number, since it uses less digits than its factorization.

2106370056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2106370056 is about 45895.2073314851. The cubic root of 2106370056 is about 1281.8726771770.

It can be divided in two parts, 21063 and 70056, that added together give a palindrome (91119).

The spelling of 2106370056 in words is "two billion, one hundred six million, three hundred seventy thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 919 1176 1838 1949 2757 3676 3898 5514 5847 6433 7352 7796 11028 11694 12866 13643 15592 19299 22056 23388 25732 27286 38598 40929 45031 46776 51464 54572 77196 81858 90062 95501 109144 135093 154392 163716 180124 191002 270186 286503 327432 360248 382004 540372 573006 764008 1080744 1146012 1791131 2292024 3582262 5373393 7164524 10746786 12537917 14329048 21493572 25075834 37613751 42987144 50151668 75227502 87765419 100303336 150455004 175530838 263296257 300910008 351061676 526592514 702123352 1053185028 2106370056