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88138260 = 22335723331
BaseRepresentation
bin1010100000011…
…10001000010100
320010211212222000
411100032020110
5140030411020
612425035300
72120106600
oct520161024
9203755860
1088138260
114582a641
1225625b30
131534c722
14b9c4500
157b10090
hex540e214

88138260 has 144 divisors (see below), whose sum is σ = 319072320. Its totient is φ = 20139840.

The previous prime is 88138249. The next prime is 88138291. The reversal of 88138260 is 6283188.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24795 + ... + 28125.

It is an arithmetic number, because the mean of its divisors is an integer number (2215780).

Almost surely, 288138260 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 88138260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159536160).

88138260 is an abundant number, since it is smaller than the sum of its proper divisors (230934060).

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

88138260 is a wasteful number, since it uses less digits than its factorization.

88138260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 88138260 is about 9388.1979101423. The cubic root of 88138260 is about 445.0288412902.

The spelling of 88138260 in words is "eighty-eight million, one hundred thirty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3331 3780 4410 5292 6615 6662 8820 9993 13230 13324 16655 19986 23317 26460 29979 33310 39972 46634 49965 59958 66620 69951 89937 93268 99930 116585 119916 139902 149895 163219 179874 199860 209853 233170 279804 299790 326438 349755 359748 419706 449685 466340 489657 599580 629559 652876 699510 816095 839412 899370 979314 1049265 1259118 1399020 1468971 1632190 1798740 1958628 2098530 2448285 2518236 2937942 3147795 3264380 4197060 4406913 4896570 5875884 6295590 7344855 8813826 9793140 12591180 14689710 17627652 22034565 29379420 44069130 88138260