Search a number
-
+
134102528 = 297173171
BaseRepresentation
bin1111111111000…
…11111000000000
3100100100010002022
413333203320000
5233312240103
621150141012
73215565320
oct777437000
9310303068
10134102528
116977423a
1238ab1768
1321a23c11
1413b4b280
15bb8e138
hex7fe3e00

134102528 has 160 divisors (see below), whose sum is σ = 339406848. Its totient is φ = 51609600.

The previous prime is 134102491. The next prime is 134102531. The reversal of 134102528 is 825201431.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 134102497 and 134102506.

It is a congruent number.

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, 1888733 + ... + 1888803.

Almost surely, 2134102528 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 134102528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169703424).

134102528 is an abundant number, since it is smaller than the sum of its proper divisors (205304320).

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

134102528 is an equidigital number, since it uses as much as digits as its factorization.

134102528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 134102528 is about 11580.2645911050. The cubic root of 134102528 is about 511.8534736955.

Adding to 134102528 its reverse (825201431), we get a palindrome (959303959).

The spelling of 134102528 in words is "one hundred thirty-four million, one hundred two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 71 112 119 124 128 136 142 217 224 238 248 256 272 284 434 448 476 496 497 512 527 544 568 868 896 952 992 994 1054 1088 1136 1207 1736 1792 1904 1984 1988 2108 2176 2201 2272 2414 3472 3584 3689 3808 3968 3976 4216 4352 4402 4544 4828 6944 7378 7616 7936 7952 8432 8449 8704 8804 9088 9656 13888 14756 15232 15407 15872 15904 16864 16898 17608 18176 19312 27776 29512 30464 30814 31808 33728 33796 35216 36352 37417 38624 55552 59024 60928 61628 63616 67456 67592 70432 74834 77248 111104 118048 123256 127232 134912 135184 140864 149668 154496 236096 246512 254464 261919 269824 270368 281728 299336 308992 472192 493024 523838 540736 563456 598672 617984 944384 986048 1047676 1081472 1126912 1197344 1888768 1972096 2095352 2162944 2394688 3944192 4190704 4325888 4789376 7888384 8381408 9578752 16762816 19157504 33525632 67051264 134102528