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8069620 = 2251341757
BaseRepresentation
bin11110110010000111110100
3120011222102211
4132302013310
54031211440
6444543204
7125406406
oct36620764
916158384
108069620
114611909
122851b04
131897030
141100b76
15a95eea
hex7b21f4

8069620 has 48 divisors (see below), whose sum is σ = 18719568. Its totient is φ = 2903040.

The previous prime is 8069603. The next prime is 8069651. The reversal of 8069620 is 269608.

It can be written as a sum of positive squares in 8 ways, for example, as 1779556 + 6290064 = 1334^2 + 2508^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10282 + ... + 11038.

It is an arithmetic number, because the mean of its divisors is an integer number (389991).

Almost surely, 28069620 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 8069620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359784).

8069620 is an abundant number, since it is smaller than the sum of its proper divisors (10649948).

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

8069620 is a wasteful number, since it uses less digits than its factorization.

8069620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 8069620 is about 2840.7076583133. The cubic root of 8069620 is about 200.5784917896.

It can be divided in two parts, 80 and 69620, that multiplied together give a square (5569600 = 23602).

The spelling of 8069620 in words is "eight million, sixty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 757 820 1066 1514 2132 2665 3028 3785 5330 7570 9841 10660 15140 19682 31037 39364 49205 62074 98410 124148 155185 196820 310370 403481 620740 806962 1613924 2017405 4034810 8069620