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3125920 = 25572791
BaseRepresentation
bin1011111011001010100000
312212210221211
423323022200
51300012140
6150555504
735366320
oct13731240
95783854
103125920
111845606
121068b94
13855a75
145b5280
1541b2ea
hex2fb2a0

3125920 has 48 divisors (see below), whose sum is σ = 8443008. Its totient is φ = 1071360.

The previous prime is 3125893. The next prime is 3125921. The reversal of 3125920 is 295213.

3125920 = T280 + T281 + ... + T343.

3125920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3125891 and 3125900.

It is not an unprimeable number, because it can be changed into a prime (3125921) 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 7 ways as a sum of consecutive naturals, for example, 276 + ... + 2515.

It is an arithmetic number, because the mean of its divisors is an integer number (175896).

Almost surely, 23125920 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 3125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221504).

3125920 is an abundant number, since it is smaller than the sum of its proper divisors (5317088).

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

3125920 is a wasteful number, since it uses less digits than its factorization.

3125920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 3125920 is about 1768.0271491128. The cubic root of 3125920 is about 146.2152326833.

The spelling of 3125920 in words is "three million, one hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2791 5582 11164 13955 19537 22328 27910 39074 44656 55820 78148 89312 97685 111640 156296 195370 223280 312592 390740 446560 625184 781480 1562960 3125920