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8106325440 = 263527131159
BaseRepresentation
bin1111000110010110…
…01011010111000000
3202220221110222222120
413203023023113000
5113100204403230
63420214404240
7404611425603
oct74313132700
922827428876
108106325440
11348a89a314
1216a2960680
139c258ca95
1456c86433a
153269ee310
hex1e32cb5c0

8106325440 has 112 divisors (see below), whose sum is σ = 25833384960. Its totient is φ = 2153640960.

The previous prime is 8106325417. The next prime is 8106325453. The reversal of 8106325440 is 445236018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244581 + ... + 275739.

Almost surely, 28106325440 is an apocalyptic number.

8106325440 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 8106325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12916692480).

8106325440 is an abundant number, since it is smaller than the sum of its proper divisors (17727059520).

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

8106325440 is a wasteful number, since it uses less digits than its factorization.

8106325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31450 (or 31440 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 8106325440 is about 90035.1344753813. The cubic root of 8106325440 is about 2008.8214868122.

The spelling of 8106325440 in words is "eight billion, one hundred six million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 271 320 480 542 813 960 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 8672 10840 13008 16260 17344 21680 26016 31159 32520 43360 52032 62318 65040 86720 93477 124636 130080 155795 186954 249272 260160 311590 373908 467385 498544 623180 747816 934770 997088 1246360 1495632 1869540 1994176 2492720 2991264 3739080 4985440 5982528 7478160 8444089 9970880 14956320 16888178 25332267 29912640 33776356 42220445 50664534 67552712 84440890 101329068 126661335 135105424 168881780 202658136 253322670 270210848 337763560 405316272 506645340 540421696 675527120 810632544 1013290680 1351054240 1621265088 2026581360 2702108480 4053162720 8106325440