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8100664 = 2311137397
BaseRepresentation
bin11110111001101100111000
3120020120000121
4132321230320
54033210124
6445343024
7125566045
oct36715470
916216017
108100664
114633170
122867a74
1318a81c0
14110c1cc
15aa02e4
hex7b9b38

8100664 has 64 divisors (see below), whose sum is σ = 18275040. Its totient is φ = 3317760.

The previous prime is 8100661. The next prime is 8100667. The reversal of 8100664 is 4660018.

8100664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8100661) and next prime (8100667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83464 + ... + 83560.

Almost surely, 28100664 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 8100664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137520).

8100664 is an abundant number, since it is smaller than the sum of its proper divisors (10174376).

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

8100664 is a wasteful number, since it uses less digits than its factorization.

8100664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 8100664 is about 2846.1665446702. The cubic root of 8100664 is about 200.8353725720.

The spelling of 8100664 in words is "eight million, one hundred thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 73 88 97 104 143 146 194 286 292 388 572 584 776 803 949 1067 1144 1261 1606 1898 2134 2522 3212 3796 4268 5044 6424 7081 7592 8536 10088 10439 13871 14162 20878 27742 28324 41756 55484 56648 77891 83512 92053 110968 155782 184106 311564 368212 623128 736424 1012583 2025166 4050332 8100664