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8069920 = 255311627
BaseRepresentation
bin11110110010001100100000
3120011222211221
4132302030200
54031214140
6444544424
7125410315
oct36621440
916158757
108069920
114612061
122852114
131897201
141100d0c
15a9614a
hex7b2320

8069920 has 48 divisors (see below), whose sum is σ = 19692288. Its totient is φ = 3121920.

The previous prime is 8069911. The next prime is 8069921. The reversal of 8069920 is 299608.

It is not an unprimeable number, because it can be changed into a prime (8069921) 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, 4147 + ... + 5773.

It is an arithmetic number, because the mean of its divisors is an integer number (410256).

Almost surely, 28069920 is an apocalyptic number.

8069920 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 8069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9846144).

8069920 is an abundant number, since it is smaller than the sum of its proper divisors (11622368).

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

8069920 is a wasteful number, since it uses less digits than its factorization.

8069920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 8069920 is about 2840.7604615666. The cubic root of 8069920 is about 200.5809773590.

The spelling of 8069920 in words is "eight million, sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 1627 2480 3254 4960 6508 8135 13016 16270 26032 32540 50437 52064 65080 100874 130160 201748 252185 260320 403496 504370 806992 1008740 1613984 2017480 4034960 8069920