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8102240 = 25579641
BaseRepresentation
bin11110111010000101100000
3120020122011222
4132322011200
54033232430
6445354212
7125603456
oct36720540
916218158
108102240
114634373
122868968
1318a8b33
14110c9d6
15aa09e5
hex7ba160

8102240 has 48 divisors (see below), whose sum is σ = 19414080. Its totient is φ = 3194880.

The previous prime is 8102221. The next prime is 8102257. The reversal of 8102240 is 422018.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12320 + ... + 12960.

It is an arithmetic number, because the mean of its divisors is an integer number (404460).

Almost surely, 28102240 is an apocalyptic number.

8102240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707040).

8102240 is an abundant number, since it is smaller than the sum of its proper divisors (11311840).

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

8102240 is a wasteful number, since it uses less digits than its factorization.

8102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 8102240 is about 2846.4433948350. The cubic root of 8102240 is about 200.8483960321.

Adding to 8102240 its reverse (422018), we get a palindrome (8524258).

The spelling of 8102240 in words is "eight million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 641 790 1264 1282 1580 2528 2564 3160 3205 5128 6320 6410 10256 12640 12820 20512 25640 50639 51280 101278 102560 202556 253195 405112 506390 810224 1012780 1620448 2025560 4051120 8102240