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2105257740 = 2235312933863
BaseRepresentation
bin111110101111011…
…1010111100001100
312102201102011200220
41331132322330030
513302421221430
6544522551340
7103112252445
oct17536727414
95381364626
102105257740
119903aa333
124a9068550
1327720c051
1415d8582cc
15c4c55110
hex7d7baf0c

2105257740 has 96 divisors (see below), whose sum is σ = 6107222016. Its totient is φ = 541297920.

The previous prime is 2105257729. The next prime is 2105257751. The reversal of 2105257740 is 477525012.

It is an interprime number because it is at equal distance from previous prime (2105257729) and next prime (2105257751).

It is a super-2 number, since 2×21052577402 = 8864220303659815200, which contains 22 as substring.

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, 543049 + ... + 546911.

It is an arithmetic number, because the mean of its divisors is an integer number (63616896).

Almost surely, 22105257740 is an apocalyptic number.

2105257740 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 2105257740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053611008).

2105257740 is an abundant number, since it is smaller than the sum of its proper divisors (4001964276).

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

2105257740 is a wasteful number, since it uses less digits than its factorization.

2105257740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 2105257740 is about 45883.0877339353. The cubic root of 2105257740 is about 1281.6469968980.

The spelling of 2105257740 in words is "two billion, one hundred five million, two hundred fifty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 293 310 372 465 586 620 879 930 1172 1465 1758 1860 2930 3516 3863 4395 5860 7726 8790 9083 11589 15452 17580 18166 19315 23178 27249 36332 38630 45415 46356 54498 57945 77260 90830 108996 115890 119753 136245 181660 231780 239506 272490 359259 479012 544980 598765 718518 1131859 1197530 1437036 1796295 2263718 2395060 3395577 3592590 4527436 5659295 6791154 7185180 11318590 13582308 16977885 22637180 33955770 35087629 67911540 70175258 105262887 140350516 175438145 210525774 350876290 421051548 526314435 701752580 1052628870 2105257740