Search a number
-
+
88013080 = 23517347373
BaseRepresentation
bin1010011111011…
…11100100011000
320010121112020201
411033233210120
5140012404310
612422231544
72116045621
oct517574430
9203545221
1088013080
1145754591
12255855b4
131530775c
14b990a48
157ad7e3a
hex53ef918

88013080 has 64 divisors (see below), whose sum is σ = 210846240. Its totient is φ = 32950272.

The previous prime is 88013071. The next prime is 88013083. The reversal of 88013080 is 8031088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88013083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235774 + ... + 236146.

Almost surely, 288013080 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 88013080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105423120).

88013080 is an abundant number, since it is smaller than the sum of its proper divisors (122833160).

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

88013080 is a wasteful number, since it uses less digits than its factorization.

88013080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 88013080 is about 9381.5286600852. The cubic root of 88013080 is about 444.8180546430.

It can be divided in two parts, 8801 and 3080, that added together give a square (11881 = 1092).

The spelling of 88013080 in words is "eighty-eight million, thirteen thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 347 373 680 694 746 1388 1492 1735 1865 2776 2984 3470 3730 5899 6341 6940 7460 11798 12682 13880 14920 23596 25364 29495 31705 47192 50728 58990 63410 117980 126820 129431 235960 253640 258862 517724 647155 1035448 1294310 2200327 2588620 4400654 5177240 8801308 11001635 17602616 22003270 44006540 88013080