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1086240 = 25353173
BaseRepresentation
bin100001001001100100000
32001012001010
410021030200
5234224430
635140520
712142611
oct4111440
92035033
101086240
11682121
12444740
132c055c
14203c08
15166cb0
hex109320

1086240 has 96 divisors (see below), whose sum is σ = 3580416. Its totient is φ = 276480.

The previous prime is 1086203. The next prime is 1086247. The reversal of 1086240 is 426801.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1086247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14844 + ... + 14916.

It is an arithmetic number, because the mean of its divisors is an integer number (37296).

21086240 is an apocalyptic number.

1086240 is a gapful number since it is divisible by the number (10) 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 1086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790208).

1086240 is an abundant number, since it is smaller than the sum of its proper divisors (2494176).

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

1086240 is a wasteful number, since it uses less digits than its factorization.

1086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

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

The square root of 1086240 is about 1042.2283818818. The cubic root of 1086240 is about 102.7957746804.

It can be divided in two parts, 1086 and 240, that added together give a triangular number (1326 = T51).

The spelling of 1086240 in words is "one million, eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 73 80 93 96 120 124 146 155 160 186 219 240 248 292 310 365 372 438 465 480 496 584 620 730 744 876 930 992 1095 1168 1240 1460 1488 1752 1860 2190 2263 2336 2480 2920 2976 3504 3720 4380 4526 4960 5840 6789 7008 7440 8760 9052 11315 11680 13578 14880 17520 18104 22630 27156 33945 35040 36208 45260 54312 67890 72416 90520 108624 135780 181040 217248 271560 362080 543120 1086240