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86765940 = 22325482033
BaseRepresentation
bin1010010101111…
…11000101110100
320001021011111100
411022333011310
5134203002230
612335410100
72102332632
oct512770564
9201234440
1086765940
1144a82598
1225083930
1314c8bbc1
14b748352
15793d660
hex52bf174

86765940 has 36 divisors (see below), whose sum is σ = 263190564. Its totient is φ = 23137536.

The previous prime is 86765933. The next prime is 86765947. The reversal of 86765940 is 4956768.

It is an interprime number because it is at equal distance from previous prime (86765933) and next prime (86765947).

It can be written as a sum of positive squares in 2 ways, for example, as 13046544 + 73719396 = 3612^2 + 8586^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86765947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240837 + ... + 241196.

It is an arithmetic number, because the mean of its divisors is an integer number (7310849).

Almost surely, 286765940 is an apocalyptic number.

It is an amenable number.

86765940 is an abundant number, since it is smaller than the sum of its proper divisors (176424624).

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

86765940 is a wasteful number, since it uses less digits than its factorization.

86765940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482048 (or 482043 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 86765940 is about 9314.8236698286. The cubic root of 86765940 is about 442.7070370816.

The spelling of 86765940 in words is "eighty-six million, seven hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 482033 964066 1446099 1928132 2410165 2892198 4338297 4820330 5784396 7230495 8676594 9640660 14460990 17353188 21691485 28921980 43382970 86765940