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8061400 = 2352172371
BaseRepresentation
bin11110110000000111011000
3120011120011101
4132300013120
54030431100
6444441144
7125343424
oct36600730
916146141
108061400
114606716
1228491b4
131893379
1410dbb84
15a9386a
hex7b01d8

8061400 has 48 divisors (see below), whose sum is σ = 19853640. Its totient is φ = 3033600.

The previous prime is 8061371. The next prime is 8061401. The reversal of 8061400 is 41608.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8061401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2215 + ... + 4585.

Almost surely, 28061400 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 8061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9926820).

8061400 is an abundant number, since it is smaller than the sum of its proper divisors (11792240).

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

8061400 is a wasteful number, since it uses less digits than its factorization.

8061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8061400 is about 2839.2604670935. The cubic root of 8061400 is about 200.5103632059.

The spelling of 8061400 in words is "eight million, sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 2371 3400 4742 9484 11855 18968 23710 40307 47420 59275 80614 94840 118550 161228 201535 237100 322456 403070 474200 806140 1007675 1612280 2015350 4030700 8061400