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86869600 = 2552108587
BaseRepresentation
bin1010010110110…
…00011001100000
320001110102200121
411023120121200
5134214311400
612341530024
72103244066
oct513303140
9201412617
1086869600
1145043464
1225113914
1314cc713c
14b774036
15795e21a
hex52d8660

86869600 has 36 divisors (see below), whose sum is σ = 212072364. Its totient is φ = 34747520.

The previous prime is 86869567. The next prime is 86869603. The reversal of 86869600 is 696868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86869603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53494 + ... + 55093.

It is an arithmetic number, because the mean of its divisors is an integer number (5890899).

Almost surely, 286869600 is an apocalyptic number.

86869600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86869600 is an abundant number, since it is smaller than the sum of its proper divisors (125202764).

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

86869600 is a wasteful number, since it uses less digits than its factorization.

86869600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108607 (or 108594 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 86869600 is about 9320.3862580904. The cubic root of 86869600 is about 442.8832688615.

The spelling of 86869600 in words is "eighty-six million, eight hundred sixty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 108587 217174 434348 542935 868696 1085870 1737392 2171740 2714675 3474784 4343480 5429350 8686960 10858700 17373920 21717400 43434800 86869600