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8105628 = 2231973487
BaseRepresentation
bin11110111010111010011100
3120020210211110
4132322322130
54033340003
6445422020
7125616366
oct36727234
916223743
108105628
114636973
12286a910
1318aa53b
14110dd36
15aa1a03
hex7bae9c

8105628 has 48 divisors (see below), whose sum is σ = 20222720. Its totient is φ = 2519424.

The previous prime is 8105621. The next prime is 8105633. The reversal of 8105628 is 8265018.

It is a junction number, because it is equal to n+sod(n) for n = 8105595 and 8105604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8105621) 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, 16401 + ... + 16887.

Almost surely, 28105628 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 8105628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10111360).

8105628 is an abundant number, since it is smaller than the sum of its proper divisors (12117092).

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

8105628 is a wasteful number, since it uses less digits than its factorization.

8105628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 8105628 is about 2847.0384612787. The cubic root of 8105628 is about 200.8763874492.

The spelling of 8105628 in words is "eight million, one hundred five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 146 219 228 292 438 487 876 974 1387 1461 1948 2774 2922 4161 5548 5844 8322 9253 16644 18506 27759 35551 37012 55518 71102 106653 111036 142204 213306 426612 675469 1350938 2026407 2701876 4052814 8105628