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4056880 = 2451719157
BaseRepresentation
bin1111011110011100110000
321122002222211
433132130300
52014310010
6222541504
746324432
oct17363460
97562884
104056880
112320aa3
121437894
13ac0729
14778652
1555208a
hex3de730

4056880 has 80 divisors (see below), whose sum is σ = 10579680. Its totient is φ = 1437696.

The previous prime is 4056859. The next prime is 4056883. The reversal of 4056880 is 886504.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25762 + ... + 25918.

It is an arithmetic number, because the mean of its divisors is an integer number (132246).

Almost surely, 24056880 is an apocalyptic number.

4056880 is a gapful number since it is divisible by the number (40) 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 4056880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289840).

4056880 is an abundant number, since it is smaller than the sum of its proper divisors (6522800).

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

4056880 is a wasteful number, since it uses less digits than its factorization.

4056880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 4056880 is about 2014.1698041625. The cubic root of 4056880 is about 159.4889946973.

The spelling of 4056880 in words is "four million, fifty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 157 170 190 272 304 314 323 340 380 628 646 680 760 785 1256 1292 1360 1520 1570 1615 2512 2584 2669 2983 3140 3230 5168 5338 5966 6280 6460 10676 11932 12560 12920 13345 14915 21352 23864 25840 26690 29830 42704 47728 50711 53380 59660 101422 106760 119320 202844 213520 238640 253555 405688 507110 811376 1014220 2028440 4056880