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5774016 = 263172961
BaseRepresentation
bin10110000001101011000000
3101212100110110
4112001223000
52434232031
6323431320
7100035603
oct26015300
911770413
105774016
113294116
121b25540
1312721a1
14aa433a
15790c46
hex581ac0

5774016 has 112 divisors (see below), whose sum is σ = 17007840. Its totient is φ = 1720320.

The previous prime is 5773991. The next prime is 5774017. The reversal of 5774016 is 6104775.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5774017) 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, 94626 + ... + 94686.

Almost surely, 25774016 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 5774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503920).

5774016 is an abundant number, since it is smaller than the sum of its proper divisors (11233824).

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

5774016 is a wasteful number, since it uses less digits than its factorization.

5774016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 5774016 is about 2402.9182258246. The cubic root of 5774016 is about 179.4014687759.

The spelling of 5774016 in words is "five million, seven hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 61 64 68 87 96 102 116 122 136 174 183 192 204 232 244 272 348 366 408 464 488 493 544 696 732 816 928 976 986 1037 1088 1392 1464 1479 1632 1769 1856 1952 1972 2074 2784 2928 2958 3111 3264 3538 3904 3944 4148 5307 5568 5856 5916 6222 7076 7888 8296 10614 11712 11832 12444 14152 15776 16592 21228 23664 24888 28304 30073 31552 33184 42456 47328 49776 56608 60146 66368 84912 90219 94656 99552 113216 120292 169824 180438 199104 240584 339648 360876 481168 721752 962336 1443504 1924672 2887008 5774016