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86678240 = 25511172897
BaseRepresentation
bin1010010101010…
…01101011100000
320001002201012012
411022221223200
5134142200430
612333452052
72101516145
oct512515340
9201081165
1086678240
1144a22710
1225041028
1314c5accc
14b7243cc
157922695
hex52a9ae0

86678240 has 96 divisors (see below), whose sum is σ = 236615904. Its totient is φ = 29655040.

The previous prime is 86678233. The next prime is 86678281. The reversal of 86678240 is 4287668.

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, 28472 + ... + 31368.

It is an arithmetic number, because the mean of its divisors is an integer number (2464749).

Almost surely, 286678240 is an apocalyptic number.

86678240 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 86678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118307952).

86678240 is an abundant number, since it is smaller than the sum of its proper divisors (149937664).

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

86678240 is a wasteful number, since it uses less digits than its factorization.

86678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 86678240 is about 9310.1149294732. The cubic root of 86678240 is about 442.5578291642.

The spelling of 86678240 in words is "eighty-six million, six hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2897 2992 3740 5794 5984 7480 11588 14485 14960 23176 28970 29920 31867 46352 49249 57940 63734 92704 98498 115880 127468 159335 196996 231760 246245 254936 318670 393992 463520 492490 509872 541739 637340 787984 984980 1019744 1083478 1274680 1575968 1969960 2166956 2549360 2708695 3939920 4333912 5098720 5417390 7879840 8667824 10834780 17335648 21669560 43339120 86678240