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1601313056 = 257411131543
BaseRepresentation
bin101111101110010…
…0001100100100000
311010121011010112222
41133130201210200
511234414004211
6422521410212
754452636120
oct13734414440
94117133488
101601313056
11751999222
12388339968
131c69a5625
14112956c80
15958ad1db
hex5f721920

1601313056 has 96 divisors (see below), whose sum is σ = 3725906688. Its totient is φ = 663183360.

The previous prime is 1601313037. The next prime is 1601313071. The reversal of 1601313056 is 6503131061.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1037021 + ... + 1038563.

It is an arithmetic number, because the mean of its divisors is an integer number (38811528).

Almost surely, 21601313056 is an apocalyptic number.

1601313056 is a gapful number since it is divisible by the number (16) 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 1601313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862953344).

1601313056 is an abundant number, since it is smaller than the sum of its proper divisors (2124593632).

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

1601313056 is a wasteful number, since it uses less digits than its factorization.

1601313056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 1601313056 is about 40016.4098339669. The cubic root of 1601313056 is about 1169.9269577213.

The spelling of 1601313056 in words is "one billion, six hundred one million, three hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 113 164 224 226 287 328 452 574 656 791 904 1148 1312 1543 1582 1808 2296 3086 3164 3616 4592 4633 6172 6328 9184 9266 10801 12344 12656 18532 21602 24688 25312 32431 37064 43204 49376 63263 64862 74128 86408 126526 129724 148256 172816 174359 253052 259448 345632 348718 442841 506104 518896 697436 885682 1012208 1037792 1220513 1394872 1771364 2024416 2441026 2789744 3542728 4882052 5579488 7085456 7148719 9764104 14170912 14297438 19528208 28594876 39056416 50041033 57189752 100082066 114379504 200164132 228759008 400328264 800656528 1601313056