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8105076 = 2233771151
BaseRepresentation
bin11110111010110001110100
3120020210002000
4132322301310
54033330301
6445415300
7125614650
oct36726164
916223060
108105076
114636511
12286a530
1318aa205
14110da60
15aa1786
hex7bac74

8105076 has 96 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 2268000.

The previous prime is 8105063. The next prime is 8105081. The reversal of 8105076 is 6705018.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53601 + ... + 53751.

It is an arithmetic number, because the mean of its divisors is an integer number (255360).

Almost surely, 28105076 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 8105076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257280).

8105076 is an abundant number, since it is smaller than the sum of its proper divisors (16409484).

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

8105076 is a wasteful number, since it uses less digits than its factorization.

8105076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 8105076 is about 2846.9415167860. The cubic root of 8105076 is about 200.8718273961.

It can be divided in two parts, 810 and 5076, that added together give a triangular number (5886 = T108).

The spelling of 8105076 in words is "eight million, one hundred five thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 84 108 126 142 151 189 213 252 284 302 378 426 453 497 604 639 756 852 906 994 1057 1278 1359 1491 1812 1917 1988 2114 2556 2718 2982 3171 3834 4077 4228 4473 5436 5964 6342 7668 8154 8946 9513 10721 12684 13419 16308 17892 19026 21442 26838 28539 32163 38052 42884 53676 57078 64326 75047 96489 114156 128652 150094 192978 225141 289467 300188 385956 450282 578934 675423 900564 1157868 1350846 2026269 2701692 4052538 8105076