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8099840 = 21157113
BaseRepresentation
bin11110111001100000000000
3120020111220002
4132321200000
54033143330
6445335132
7125563460
oct36714000
916214802
108099840
114632591
1228674a8
1318a7a08
14110bba0
15a9ee45
hex7b9800

8099840 has 96 divisors (see below), whose sum is σ = 22407840. Its totient is φ = 2752512.

The previous prime is 8099827. The next prime is 8099843. The reversal of 8099840 is 489908.

It is a junction number, because it is equal to n+sod(n) for n = 8099794 and 8099803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8099843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71624 + ... + 71736.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 28099840 is an apocalyptic number.

8099840 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 8099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203920).

8099840 is an abundant number, since it is smaller than the sum of its proper divisors (14308000).

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

8099840 is a wasteful number, since it uses less digits than its factorization.

8099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 8099840 is about 2846.0217848780. The cubic root of 8099840 is about 200.8285626793.

The spelling of 8099840 in words is "eight million, ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 113 128 140 160 224 226 256 280 320 448 452 512 560 565 640 791 896 904 1024 1120 1130 1280 1582 1792 1808 2048 2240 2260 2560 3164 3584 3616 3955 4480 4520 5120 6328 7168 7232 7910 8960 9040 10240 12656 14336 14464 15820 17920 18080 25312 28928 31640 35840 36160 50624 57856 63280 71680 72320 101248 115712 126560 144640 202496 231424 253120 289280 404992 506240 578560 809984 1012480 1157120 1619968 2024960 4049920 8099840