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1085234976 = 25337179437
BaseRepresentation
bin100000010101111…
…0101111100100000
32210122001122112000
41000223311330200
54210310004401
6255404204000
735615226240
oct10053657440
92718048460
101085234976
11507650111
12263539600
13143ab1297
14a41b7b20
156541b186
hex40af5f20

1085234976 has 96 divisors (see below), whose sum is σ = 3617470080. Its totient is φ = 310065408.

The previous prime is 1085234963. The next prime is 1085234977. The reversal of 1085234976 is 6794325801.

1085234976 is a `hidden beast` number, since 10 + 8 + 523 + 49 + 76 = 666.

1085234976 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

1085234976 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1085234977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83671 + ... + 95766.

It is an arithmetic number, because the mean of its divisors is an integer number (37681980).

It is a 1-persistent number, because it is pandigital, but 2⋅1085234976 = 2170469952 is not.

Almost surely, 21085234976 is an apocalyptic number.

1085234976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1085234976 is an abundant number, since it is smaller than the sum of its proper divisors (2532235104).

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

1085234976 is a wasteful number, since it uses less digits than its factorization.

1085234976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179463 (or 179449 counting only the distinct ones).

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

The square root of 1085234976 is about 32942.9047899544. The cubic root of 1085234976 is about 1027.6406158453.

The spelling of 1085234976 in words is "one billion, eighty-five million, two hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 179437 358874 538311 717748 1076622 1256059 1435496 1614933 2153244 2512118 2870992 3229866 3768177 4306488 4844799 5024236 5741984 6459732 7536354 8612976 9689598 10048472 11304531 12919464 15072708 17225952 19379196 20096944 22609062 25838928 30145416 33913593 38758392 40193888 45218124 51677856 60290832 67827186 77516784 90436248 120581664 135654372 155033568 180872496 271308744 361744992 542617488 1085234976