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3945120 = 25358219
BaseRepresentation
bin1111000011001010100000
321102102200120
433003022200
52002220440
6220320240
745350544
oct17031240
97372616
103945120
112255033
1213a3080
13a818ba
14749a24
1552ddd0
hex3c32a0

3945120 has 48 divisors (see below), whose sum is σ = 12428640. Its totient is φ = 1051904.

The previous prime is 3945119. The next prime is 3945127. The reversal of 3945120 is 215493.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3945127) 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, 3630 + ... + 4589.

It is an arithmetic number, because the mean of its divisors is an integer number (258930).

Almost surely, 23945120 is an apocalyptic number.

3945120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3945120 is an abundant number, since it is smaller than the sum of its proper divisors (8483520).

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

3945120 is a wasteful number, since it uses less digits than its factorization.

3945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 3945120 is about 1986.2326147760. The cubic root of 3945120 is about 158.0107881327.

The spelling of 3945120 in words is "three million, nine hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8219 16438 24657 32876 41095 49314 65752 82190 98628 123285 131504 164380 197256 246570 263008 328760 394512 493140 657520 789024 986280 1315040 1972560 3945120