Search a number
-
+
89640200 = 235213231499
BaseRepresentation
bin1010101011111…
…00110100001000
320020200012020102
411111330310020
5140421441300
612521144532
72135633456
oct525746410
9206605212
1089640200
1146666011
122602b148
1315757250
14bc959d6
157d0a0d5
hex557cd08

89640200 has 96 divisors (see below), whose sum is σ = 234360000. Its totient is φ = 31637760.

The previous prime is 89640181. The next prime is 89640211. The reversal of 89640200 is 204698.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59051 + ... + 60549.

It is an arithmetic number, because the mean of its divisors is an integer number (2441250).

Almost surely, 289640200 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 89640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117180000).

89640200 is an abundant number, since it is smaller than the sum of its proper divisors (144719800).

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

89640200 is a wasteful number, since it uses less digits than its factorization.

89640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 89640200 is about 9467.8508649007. The cubic root of 89640200 is about 447.5424883973.

Adding to 89640200 its reverse (204698), we get a palindrome (89844898).

The spelling of 89640200 in words is "eighty-nine million, six hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 130 184 200 230 260 299 325 460 520 575 598 650 920 1150 1196 1300 1495 1499 2300 2392 2600 2990 2998 4600 5980 5996 7475 7495 11960 11992 14950 14990 19487 29900 29980 34477 37475 38974 59800 59960 68954 74950 77948 97435 137908 149900 155896 172385 194870 275816 299800 344770 389740 448201 487175 689540 779480 861925 896402 974350 1379080 1723850 1792804 1948700 2241005 3447700 3585608 3897400 4482010 6895400 8964020 11205025 17928040 22410050 44820100 89640200