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3981300 = 2235223577
BaseRepresentation
bin1111001011111111110100
321111021022120
433023333310
52004400200
6221155540
745561201
oct17137764
97437276
103981300
11227a234
1213bbbb0
13a951cb
14758ca8
155399a0
hex3cbff4

3981300 has 72 divisors (see below), whose sum is σ = 12040896. Its totient is φ = 1013760.

The previous prime is 3981253. The next prime is 3981301. The reversal of 3981300 is 31893.

3981300 = 4052 + 4062 + ... + 4272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6612 + ... + 7188.

Almost surely, 23981300 is an apocalyptic number.

3981300 is a gapful number since it is divisible by the number (30) 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 3981300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020448).

3981300 is an abundant number, since it is smaller than the sum of its proper divisors (8059596).

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

3981300 is a wasteful number, since it uses less digits than its factorization.

3981300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 3981300 is about 1995.3195232844. The cubic root of 3981300 is about 158.4923487103.

The spelling of 3981300 in words is "three million, nine hundred eighty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 577 690 1150 1154 1380 1725 1731 2300 2308 2885 3450 3462 5770 6900 6924 8655 11540 13271 14425 17310 26542 28850 34620 39813 43275 53084 57700 66355 79626 86550 132710 159252 173100 199065 265420 331775 398130 663550 796260 995325 1327100 1990650 3981300