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3120231040 = 27523920399
BaseRepresentation
bin1011100111111010…
…1111001010000000
322001110021011022121
42321332233022000
522342234343130
61233341214024
7140215345333
oct27176571200
98043234277
103120231040
11136131a843
12730b61314
133a958c674
1421858261a
15133de2d7a
hexb9faf280

3120231040 has 64 divisors (see below), whose sum is σ = 7490880000. Its totient is φ = 1242809344.

The previous prime is 3120231029. The next prime is 3120231067. The reversal of 3120231040 is 401320213.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142761 + ... + 163159.

It is an arithmetic number, because the mean of its divisors is an integer number (117045000).

Almost surely, 23120231040 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 3120231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745440000).

3120231040 is an abundant number, since it is smaller than the sum of its proper divisors (4370648960).

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

3120231040 is a wasteful number, since it uses less digits than its factorization.

3120231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20657 (or 20645 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3120231040 is about 55859.0282765463. The cubic root of 3120231040 is about 1461.2647825422.

Adding to 3120231040 its reverse (401320213), we get a palindrome (3521551253).

The spelling of 3120231040 in words is "three billion, one hundred twenty million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 320 478 640 956 1195 1912 2390 3824 4780 7648 9560 15296 19120 20399 30592 38240 40798 76480 81596 101995 152960 163192 203990 326384 407980 652768 815960 1305536 1631920 2611072 3263840 4875361 6527680 9750722 13055360 19501444 24376805 39002888 48753610 78005776 97507220 156011552 195014440 312023104 390028880 624046208 780057760 1560115520 3120231040