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86692740 = 223531127367
BaseRepresentation
bin1010010101011…
…01001110000100
320001010110002020
411022231032010
5134143131430
612334043140
72101606341
oct512551604
9201113066
1086692740
1144a325a2
12250494b0
1314c647a4
14b7297c8
157926b10
hex52ad384

86692740 has 96 divisors (see below), whose sum is σ = 253231104. Its totient is φ = 22135680.

The previous prime is 86692733. The next prime is 86692747. The reversal of 86692740 is 4729668.

It is an interprime number because it is at equal distance from previous prime (86692733) and next prime (86692747).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86692692 and 86692701.

It is not an unprimeable number, because it can be changed into a prime (86692747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236037 + ... + 236403.

It is an arithmetic number, because the mean of its divisors is an integer number (2637824).

Almost surely, 286692740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86692740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126615552).

86692740 is an abundant number, since it is smaller than the sum of its proper divisors (166538364).

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

86692740 is a wasteful number, since it uses less digits than its factorization.

86692740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 86692740 is about 9310.8936198412. The cubic root of 86692740 is about 442.5825056025.

The spelling of 86692740 in words is "eighty-six million, six hundred ninety-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 127 155 186 254 310 367 372 381 465 508 620 635 734 762 930 1101 1270 1468 1524 1835 1860 1905 2202 2540 3670 3810 3937 4404 5505 7340 7620 7874 11010 11377 11811 15748 19685 22020 22754 23622 34131 39370 45508 46609 47244 56885 59055 68262 78740 93218 113770 118110 136524 139827 170655 186436 227540 233045 236220 279654 341310 466090 559308 682620 699135 932180 1398270 1444879 2796540 2889758 4334637 5779516 7224395 8669274 14448790 17338548 21673185 28897580 43346370 86692740