Search a number
-
+
96064560 = 24325235801
BaseRepresentation
bin1011011100111…
…01010000110000
320200202120210200
411232131100300
5144043031220
613310555200
72244351414
oct556352060
9220676720
1096064560
114a2537a9
1228208b00
1316b96447
14ca88d44
158678890
hex5b9d430

96064560 has 120 divisors (see below), whose sum is σ = 336701664. Its totient is φ = 24499200.

The previous prime is 96064541. The next prime is 96064571. The reversal of 96064560 is 6546069.

It is a happy number.

96064560 is a `hidden beast` number, since 9 + 6 + 0 + 645 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 13660 + ... + 19460.

Almost surely, 296064560 is an apocalyptic number.

96064560 is a gapful number since it is divisible by the number (90) 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 96064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168350832).

96064560 is an abundant number, since it is smaller than the sum of its proper divisors (240637104).

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

96064560 is a wasteful number, since it uses less digits than its factorization.

96064560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 96064560 is about 9801.2529811244. The cubic root of 96064560 is about 457.9883167313.

The spelling of 96064560 in words is "ninety-six million, sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 5801 8280 11602 16560 17403 23204 29005 34806 46408 52209 58010 69612 87015 92816 104418 116020 133423 139224 174030 208836 232040 261045 266846 278448 348060 400269 417672 464080 522090 533692 667115 696120 800538 835344 1044180 1067384 1200807 1334230 1392240 1601076 2001345 2088360 2134768 2401614 2668460 3202152 4002690 4176720 4803228 5336920 6004035 6404304 8005380 9606456 10673840 12008070 16010760 19212912 24016140 32021520 48032280 96064560