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4021490320 = 245294573793
BaseRepresentation
bin1110111110110011…
…0001001010010000
3101101021010212121221
43233230301022100
531214000142240
61503014254424
7201441050401
oct35754611220
911337125557
104021490320
111784032221
12942957414
134c1207293
142a21499a8
151880bca4a
hexefb31290

4021490320 has 80 divisors (see below), whose sum is σ = 9696098160. Its totient is φ = 1549320192.

The previous prime is 4021490309. The next prime is 4021490323. The reversal of 4021490320 is 230941204.

4021490320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2944656 + 4018545664 = 1716^2 + 63392^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4021490323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058344 + ... + 1062136.

It is an arithmetic number, because the mean of its divisors is an integer number (121201227).

Almost surely, 24021490320 is an apocalyptic number.

4021490320 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 4021490320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848049080).

4021490320 is an abundant number, since it is smaller than the sum of its proper divisors (5674607840).

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

4021490320 is a wasteful number, since it uses less digits than its factorization.

4021490320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 4021490320 is about 63415.2215166044. The cubic root of 4021490320 is about 1590.2387890774.

The spelling of 4021490320 in words is "four billion, twenty-one million, four hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 457 464 580 914 1160 1828 2285 2320 3656 3793 4570 7312 7586 9140 13253 15172 18280 18965 26506 30344 36560 37930 53012 60688 66265 75860 106024 109997 132530 151720 212048 219994 265060 303440 439988 530120 549985 879976 1060240 1099970 1733401 1759952 2199940 3466802 4399880 6933604 8667005 8799760 13867208 17334010 27734416 34668020 50268629 69336040 100537258 138672080 201074516 251343145 402149032 502686290 804298064 1005372580 2010745160 4021490320