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6201984 = 27331521
BaseRepresentation
bin10111101010001010000000
3102200002112010
4113222022000
53041430414
6340532520
7103500405
oct27521200
912602463
106201984
113556708
1220b1140
131391c19
14b762ac
15827959
hex5ea280

6201984 has 64 divisors (see below), whose sum is σ = 17038080. Its totient is φ = 1996800.

The previous prime is 6201983. The next prime is 6202013. The reversal of 6201984 is 4891026.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6201983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11644 + ... + 12164.

It is an arithmetic number, because the mean of its divisors is an integer number (266220).

Almost surely, 26201984 is an apocalyptic number.

6201984 is a gapful number since it is divisible by the number (64) 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 6201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519040).

6201984 is an abundant number, since it is smaller than the sum of its proper divisors (10836096).

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

6201984 is a wasteful number, since it uses less digits than its factorization.

6201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6201984 is about 2490.3782845182. The cubic root of 6201984 is about 183.7286485441.

The spelling of 6201984 in words is "six million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 521 744 992 1042 1488 1563 1984 2084 2976 3126 3968 4168 5952 6252 8336 11904 12504 16151 16672 25008 32302 33344 48453 50016 64604 66688 96906 100032 129208 193812 200064 258416 387624 516832 775248 1033664 1550496 2067328 3100992 6201984