Search a number
-
+
96547680 = 2533522349
BaseRepresentation
bin1011100000100…
…11001101100000
320201200010112000
411300103031200
5144204011210
613325204000
72251433055
oct560231540
9221603460
1096547680
114a553779
1228400600
1317005308
14cb7302c
158721ac0
hex5c13360

96547680 has 96 divisors (see below), whose sum is σ = 337932000. Its totient is φ = 25744896.

The previous prime is 96547673. The next prime is 96547681. The reversal of 96547680 is 8674569.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96547681) 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 15 ways as a sum of consecutive naturals, for example, 6855 + ... + 15494.

It is an arithmetic number, because the mean of its divisors is an integer number (3520125).

Almost surely, 296547680 is an apocalyptic number.

96547680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96547680 is an abundant number, since it is smaller than the sum of its proper divisors (241384320).

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

96547680 is a wasteful number, since it uses less digits than its factorization.

96547680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22373 (or 22359 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 96547680 is about 9825.8679005979. The cubic root of 96547680 is about 458.7547923482.

The spelling of 96547680 in words is "ninety-six million, five hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 22349 44698 67047 89396 111745 134094 178792 201141 223490 268188 335235 357584 402282 446980 536376 603423 670470 715168 804564 893960 1005705 1072752 1206846 1340940 1609128 1787920 2011410 2145504 2413692 2681880 3017115 3218256 3575840 4022820 4827384 5363760 6034230 6436512 8045640 9654768 10727520 12068460 16091280 19309536 24136920 32182560 48273840 96547680