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8061984 = 253373143
BaseRepresentation
bin11110110000010000100000
3120011120222000
4132300100200
54030440414
6444444000
7125345220
oct36602040
916146860
108061984
1146070a7
122849600
131893708
1410dc080
15a93b09
hex7b0420

8061984 has 192 divisors, whose sum is σ = 28385280. Its totient is φ = 2177280.

The previous prime is 8061931. The next prime is 8061997. The reversal of 8061984 is 4891608.

8061984 = T231 + T232 + ... + T392.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187467 + ... + 187509.

It is an arithmetic number, because the mean of its divisors is an integer number (147840).

Almost surely, 28061984 is an apocalyptic number.

8061984 is a gapful number since it is divisible by the number (84) 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 8061984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192640).

8061984 is an abundant number, since it is smaller than the sum of its proper divisors (20323296).

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

8061984 is a wasteful number, since it uses less digits than its factorization.

8061984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8061984 is about 2839.3633089128. The cubic root of 8061984 is about 200.5152050127.

It can be divided in two parts, 8061 and 984, that added together give a triangular number (9045 = T134).

The spelling of 8061984 in words is "eight million, sixty-one thousand, nine hundred eighty-four".