Search a number
-
+
88281270 = 232571112739
BaseRepresentation
bin1010100001100…
…01000010110110
320011010011010200
411100301002312
5140100000040
612432101330
72121243540
oct520610266
9204104120
1088281270
1145918030
1225694846
131539c84c
14ba20690
157b3c630
hex54310b6

88281270 has 96 divisors (see below), whose sum is σ = 286191360. Its totient is φ = 18342720.

The previous prime is 88281269. The next prime is 88281301. The reversal of 88281270 is 7218288.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561 + ... + 13299.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 288281270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88281270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

88281270 is an abundant number, since it is smaller than the sum of its proper divisors (197910090).

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

88281270 is a wasteful number, since it uses less digits than its factorization.

88281270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12770 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 88281270 is about 9395.8113007872. The cubic root of 88281270 is about 445.2694072059.

The spelling of 88281270 in words is "eighty-eight million, two hundred eighty-one thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 12739 25478 38217 63695 76434 89173 114651 127390 140129 178346 191085 229302 267519 280258 382170 420387 445865 535038 573255 700645 802557 840774 891730 980903 1146510 1261161 1337595 1401290 1605114 1961806 2101935 2522322 2675190 2942709 4012785 4203870 4904515 5885418 6305805 8025570 8828127 9809030 12611610 14713545 17656254 29427090 44140635 88281270