Search a number
-
+
88099700 = 2252133401
BaseRepresentation
bin1010100000001…
…00101101110100
320010202221001212
411100010231310
5140023142300
612424140552
72116556303
oct520045564
9203687055
1088099700
1145803677
1225607758
1315338000
14b9b443a
157b03935
hex5404b74

88099700 has 72 divisors (see below), whose sum is σ = 207616920. Its totient is φ = 32448000.

The previous prime is 88099699. The next prime is 88099703. The reversal of 88099700 is 799088.

It can be written as a sum of positive squares in 12 ways, for example, as 74718736 + 13380964 = 8644^2 + 3658^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88099703) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 219500 + ... + 219900.

Almost surely, 288099700 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 88099700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103808460).

88099700 is an abundant number, since it is smaller than the sum of its proper divisors (119517220).

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

88099700 is a wasteful number, since it uses less digits than its factorization.

88099700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The square root of 88099700 is about 9386.1440432160. The cubic root of 88099700 is about 444.9639326068.

The spelling of 88099700 in words is "eighty-eight million, ninety-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 401 650 676 802 845 1300 1604 1690 2005 2197 3380 4010 4225 4394 5213 8020 8450 8788 10025 10426 10985 16900 20050 20852 21970 26065 40100 43940 52130 54925 67769 104260 109850 130325 135538 219700 260650 271076 338845 521300 677690 880997 1355380 1694225 1761994 3388450 3523988 4404985 6776900 8809970 17619940 22024925 44049850 88099700