Search a number
-
+
65009088 = 2633172213
BaseRepresentation
bin1111011111111…
…1010111000000
311112022210201000
43313333113000
5113120242323
610241212000
71416365604
oct367772700
9145283630
1065009088
1133772321
1219931000
1310611c21
1488c3504
155a91e43
hex3dff5c0

65009088 has 112 divisors (see below), whose sum is σ = 202448160. Its totient is φ = 20385792.

The previous prime is 65009083. The next prime is 65009099. The reversal of 65009088 is 88090056.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65009083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28270 + ... + 30482.

Almost surely, 265009088 is an apocalyptic number.

65009088 is a gapful number since it is divisible by the number (68) 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 65009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101224080).

65009088 is an abundant number, since it is smaller than the sum of its proper divisors (137439072).

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

65009088 is a wasteful number, since it uses less digits than its factorization.

65009088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 65009088 is about 8062.8213424334. The cubic root of 65009088 is about 402.0913136296.

The spelling of 65009088 in words is "sixty-five million, nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2213 2448 3264 3672 4426 4896 6639 7344 8852 9792 13278 14688 17704 19917 26556 29376 35408 37621 39834 53112 59751 70816 75242 79668 106224 112863 119502 141632 150484 159336 212448 225726 239004 300968 318672 338589 424896 451452 478008 601936 637344 677178 902904 956016 1015767 1203872 1274688 1354356 1805808 1912032 2031534 2407744 2708712 3611616 3824064 4063068 5417424 7223232 8126136 10834848 16252272 21669696 32504544 65009088