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8052940 = 225797593
BaseRepresentation
bin11110101110000011001100
3120011010120001
4132232003030
54030143230
6444334044
7125306650
oct36560314
916133501
108052940
114600325
122844324
13188c56c
1410d8a60
15a910ca
hex7ae0cc

8052940 has 48 divisors (see below), whose sum is σ = 19559232. Its totient is φ = 2727936.

The previous prime is 8052937. The next prime is 8052949. The reversal of 8052940 is 492508.

8052940 = 1302 + 1312 + ... + 2972.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 8052899 and 8052908.

It is not an unprimeable number, because it can be changed into a prime (8052949) 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, 13284 + ... + 13876.

It is an arithmetic number, because the mean of its divisors is an integer number (407484).

Almost surely, 28052940 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 8052940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779616).

8052940 is an abundant number, since it is smaller than the sum of its proper divisors (11506292).

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

8052940 is a wasteful number, since it uses less digits than its factorization.

8052940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 8052940 is about 2837.7702514474. The cubic root of 8052940 is about 200.4401970885.

The spelling of 8052940 in words is "eight million, fifty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 593 679 970 1186 1358 1940 2372 2716 2965 3395 4151 5930 6790 8302 11860 13580 16604 20755 41510 57521 83020 115042 230084 287605 402647 575210 805294 1150420 1610588 2013235 4026470 8052940