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8520072 = 2331159547
BaseRepresentation
bin100000100000…
…000110001000
3121000212100020
4200200012020
54140120242
6502340440
7132263601
oct40400610
917025306
108520072
11489a290
122a2a720
1319c4082
1411bada8
15b346ec
hex820188

8520072 has 64 divisors (see below), whose sum is σ = 23673600. Its totient is φ = 2533440.

The previous prime is 8520041. The next prime is 8520079. The reversal of 8520072 is 2700258.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8520079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15303 + ... + 15849.

It is an arithmetic number, because the mean of its divisors is an integer number (369900).

Almost surely, 28520072 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 8520072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11836800).

8520072 is an abundant number, since it is smaller than the sum of its proper divisors (15153528).

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

8520072 is a wasteful number, since it uses less digits than its factorization.

8520072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 8520072 is about 2918.9162372360. The cubic root of 8520072 is about 204.2432699545.

The spelling of 8520072 in words is "eight million, five hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 547 649 708 1094 1298 1416 1641 1947 2188 2596 3282 3894 4376 5192 6017 6564 7788 12034 13128 15576 18051 24068 32273 36102 48136 64546 72204 96819 129092 144408 193638 258184 355003 387276 710006 774552 1065009 1420012 2130018 2840024 4260036 8520072