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864150 = 23527823
BaseRepresentation
bin11010010111110010110
31121220101120
43102332112
5210123100
630304410
710226250
oct3227626
91556346
10864150
11540281
12358106
13243441
14186cd0
151210a0
hexd2f96

864150 has 48 divisors (see below), whose sum is σ = 2452224. Its totient is φ = 197280.

The previous prime is 864137. The next prime is 864151. The reversal of 864150 is 51468.

It is a self number, because there is not a number n which added to its sum of digits gives 864150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639 + ... + 1461.

It is an arithmetic number, because the mean of its divisors is an integer number (51088).

2864150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226112).

864150 is an abundant number, since it is smaller than the sum of its proper divisors (1588074).

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

864150 is a wasteful number, since it uses less digits than its factorization.

864150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 864150 is about 929.5966867411. The cubic root of 864150 is about 95.2495746084.

It can be divided in two parts, 864 and 150, that multiplied together give a square (129600 = 3602).

The spelling of 864150 in words is "eight hundred sixty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 823 1050 1646 2469 4115 4938 5761 8230 11522 12345 17283 20575 24690 28805 34566 41150 57610 61725 86415 123450 144025 172830 288050 432075 864150