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8106240 = 28352111
BaseRepresentation
bin11110111011000100000000
3120020211200010
4132323010000
54033344430
6445424520
7125621232
oct36730400
916224603
108106240
11463737a
12286b140
1318aa8bc
141110252
15aa1cb0
hex7bb100

8106240 has 72 divisors (see below), whose sum is σ = 25901568. Its totient is φ = 2160640.

The previous prime is 8106211. The next prime is 8106251. The reversal of 8106240 is 426018.

It is a super-2 number, since 2×81062402 = 131422253875200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2785 + ... + 4895.

It is an arithmetic number, because the mean of its divisors is an integer number (359744).

Almost surely, 28106240 is an apocalyptic number.

8106240 is a gapful number since it is divisible by the number (80) 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 8106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950784).

8106240 is an abundant number, since it is smaller than the sum of its proper divisors (17795328).

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

8106240 is a wasteful number, since it uses less digits than its factorization.

8106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8106240 is about 2847.1459393575. The cubic root of 8106240 is about 200.8814429183.

The spelling of 8106240 in words is "eight million, one hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2111 3840 4222 6333 8444 10555 12666 16888 21110 25332 31665 33776 42220 50664 63330 67552 84440 101328 126660 135104 168880 202656 253320 270208 337760 405312 506640 540416 675520 810624 1013280 1351040 1621248 2026560 2702080 4053120 8106240