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8070820 = 2251967317
BaseRepresentation
bin11110110010011010100100
3120012001002021
4132302122210
54031231240
6444552524
7125413042
oct36623244
916161067
108070820
1146127aa
122852744
131897744
141101392
15a9654a
hex7b26a4

8070820 has 48 divisors (see below), whose sum is σ = 18164160. Its totient is φ = 3003264.

The previous prime is 8070817. The next prime is 8070827. The reversal of 8070820 is 280708.

8070820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (8070827) 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, 25302 + ... + 25618.

It is an arithmetic number, because the mean of its divisors is an integer number (378420).

Almost surely, 28070820 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 8070820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082080).

8070820 is an abundant number, since it is smaller than the sum of its proper divisors (10093340).

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

8070820 is a wasteful number, since it uses less digits than its factorization.

8070820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 8070820 is about 2840.9188654377. The cubic root of 8070820 is about 200.5884336977.

The spelling of 8070820 in words is "eight million, seventy thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 317 335 380 634 670 1268 1273 1340 1585 2546 3170 5092 6023 6340 6365 12046 12730 21239 24092 25460 30115 42478 60230 84956 106195 120460 212390 403541 424780 807082 1614164 2017705 4035410 8070820