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2105733630 = 2357111370121
BaseRepresentation
bin111110110000010…
…1111000111111110
312102202022100111110
41331200233013332
513303031434010
6544541102450
7103116304050
oct17540570776
95382270443
102105733630
119906a4930
124a9257a26
13277347840
1415d93d8d0
15c4ceb120
hex7d82f1fe

2105733630 has 128 divisors (see below), whose sum is σ = 6785565696. Its totient is φ = 403891200.

The previous prime is 2105733601. The next prime is 2105733631. The reversal of 2105733630 is 363375012.

It is a super-2 number, since 2×21057336302 = 8868228241025953800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105733631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5031 + ... + 65090.

It is an arithmetic number, because the mean of its divisors is an integer number (53012232).

Almost surely, 22105733630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105733630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392782848).

2105733630 is an abundant number, since it is smaller than the sum of its proper divisors (4679832066).

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

2105733630 is a wasteful number, since it uses less digits than its factorization.

2105733630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70162.

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 2105733630 is about 45888.2733386211. The cubic root of 2105733630 is about 1281.7435610108.

The spelling of 2105733630 in words is "two billion, one hundred five million, seven hundred thirty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 30030 70121 140242 210363 350605 420726 490847 701210 771331 911573 981694 1051815 1472541 1542662 1823146 2103630 2313993 2454235 2734719 2945082 3856655 4557865 4627986 4908470 5399317 5469438 6381011 7362705 7713310 9115730 10027303 10798634 11569965 12762022 13673595 14725410 16197951 19143033 20054606 23139930 26996585 27347190 30081909 31905055 32395902 38286066 50136515 53993170 60163818 63810110 70191121 80989755 95715165 100273030 140382242 150409545 161979510 191430330 210573363 300819090 350955605 421146726 701911210 1052866815 2105733630