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5734176 = 253722353
BaseRepresentation
bin10101110111111100100000
3101210022210220
4111313330200
52431443201
6322523040
766511500
oct25677440
911708726
105734176
113267198
121b06480
13125a006
14a93a00
15784036
hex577f20

5734176 has 144 divisors (see below), whose sum is σ = 18615744. Its totient is φ = 1537536.

The previous prime is 5734171. The next prime is 5734207. The reversal of 5734176 is 6714375.

It is not an unprimeable number, because it can be changed into a prime (5734171) 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 23 ways as a sum of consecutive naturals, for example, 108166 + ... + 108218.

It is an arithmetic number, because the mean of its divisors is an integer number (129276).

Almost surely, 25734176 is an apocalyptic number.

5734176 is a gapful number since it is divisible by the number (56) 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 5734176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307872).

5734176 is an abundant number, since it is smaller than the sum of its proper divisors (12881568).

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

5734176 is a wasteful number, since it uses less digits than its factorization.

5734176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 5734176 is about 2394.6139563612. The cubic root of 5734176 is about 178.9879001007.

The spelling of 5734176 in words is "five million, seven hundred thirty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 53 56 69 84 92 96 98 106 112 138 147 159 161 168 184 196 212 224 276 294 318 322 336 368 371 392 424 483 552 588 636 644 672 736 742 784 848 966 1104 1113 1127 1176 1219 1272 1288 1484 1568 1696 1932 2208 2226 2254 2352 2438 2544 2576 2597 2968 3381 3657 3864 4452 4508 4704 4876 5088 5152 5194 5936 6762 7314 7728 7791 8533 8904 9016 9752 10388 11872 13524 14628 15456 15582 17066 17808 18032 19504 20776 25599 27048 29256 31164 34132 35616 36064 39008 41552 51198 54096 58512 59731 62328 68264 83104 102396 108192 117024 119462 124656 136528 179193 204792 238924 249312 273056 358386 409584 477848 716772 819168 955696 1433544 1911392 2867088 5734176