Search a number
-
+
88110240 = 2535232347
BaseRepresentation
bin1010100000001…
…11010010100000
320010210110112020
411100013102200
5140024011430
612424301440
72116632111
oct520072240
9203713466
1088110240
1145810589
1225611880
131533ca4a
14b9b8208
157b06b10
hex54074a0

88110240 has 144 divisors (see below), whose sum is σ = 290975328. Its totient is φ = 22409728.

The previous prime is 88110233. The next prime is 88110247. The reversal of 88110240 is 4201188.

It is an interprime number because it is at equal distance from previous prime (88110233) and next prime (88110247).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 88110240.

It is not an unprimeable number, because it can be changed into a prime (88110247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253747 + ... + 254093.

It is an arithmetic number, because the mean of its divisors is an integer number (2020662).

Almost surely, 288110240 is an apocalyptic number.

88110240 is a gapful number since it is divisible by the number (80) 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 88110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145487664).

88110240 is an abundant number, since it is smaller than the sum of its proper divisors (202865088).

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

88110240 is a wasteful number, since it uses less digits than its factorization.

88110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 88110240 is about 9386.7054923439. The cubic root of 88110240 is about 444.9816766432.

The spelling of 88110240 in words is "eighty-eight million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 347 368 460 480 529 552 690 694 736 920 1041 1058 1104 1380 1388 1587 1735 1840 2082 2116 2208 2645 2760 2776 3174 3470 3680 4164 4232 5205 5290 5520 5552 6348 6940 7935 7981 8328 8464 10410 10580 11040 11104 12696 13880 15870 15962 16656 16928 20820 21160 23943 25392 27760 31740 31924 33312 39905 41640 42320 47886 50784 55520 63480 63848 79810 83280 84640 95772 119715 126960 127696 159620 166560 183563 191544 239430 253920 255392 319240 367126 383088 478860 550689 638480 734252 766176 917815 957720 1101378 1276960 1468504 1835630 1915440 2202756 2753445 2937008 3671260 3830880 4405512 5506890 5874016 7342520 8811024 11013780 14685040 17622048 22027560 29370080 44055120 88110240