Search a number
-
+
65389680 = 2434510091
BaseRepresentation
bin1111100101110…
…0010001110000
311120001010210000
43321130101300
5113214432210
610253310000
71422542316
oct371342160
9146033700
1065389680
1133a02264
1219a95300
1310716225
1489820b6
155b19ac0
hex3e5c470

65389680 has 100 divisors (see below), whose sum is σ = 227130552. Its totient is φ = 17435520.

The previous prime is 65389673. The next prime is 65389691. The reversal of 65389680 is 8698356.

65389680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1435 + ... + 11525.

Almost surely, 265389680 is an apocalyptic number.

65389680 is a gapful number since it is divisible by the number (60) 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 65389680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113565276).

65389680 is an abundant number, since it is smaller than the sum of its proper divisors (161740872).

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

65389680 is a wasteful number, since it uses less digits than its factorization.

65389680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 65389680 is about 8086.3885635060. The cubic root of 65389680 is about 402.8744608736.

The spelling of 65389680 in words is "sixty-five million, three hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 10091 20182 30273 40364 50455 60546 80728 90819 100910 121092 151365 161456 181638 201820 242184 272457 302730 363276 403640 454095 484368 544914 605460 726552 807280 817371 908190 1089828 1210920 1362285 1453104 1634742 1816380 2179656 2421840 2724570 3269484 3632760 4086855 4359312 5449140 6538968 7265520 8173710 10898280 13077936 16347420 21796560 32694840 65389680