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1085322432 = 26317332513
BaseRepresentation
bin100000010110000…
…1011010011000000
32210122020002111010
41000230023103000
54210320304212
6255410120520
735616042225
oct10054132300
92718202433
101085322432
115076aa897
12263580140
13143b1202c
14a41db94c
156543703c
hex40b0b4c0

1085322432 has 56 divisors (see below), whose sum is σ = 3040508016. Its totient is φ = 340492288.

The previous prime is 1085322421. The next prime is 1085322437. The reversal of 1085322432 is 2342235801.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1085322432.

It is not an unprimeable number, because it can be changed into a prime (1085322437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162993 + ... + 169520.

It is an arithmetic number, because the mean of its divisors is an integer number (54294786).

Almost surely, 21085322432 is an apocalyptic number.

1085322432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1085322432 is an abundant number, since it is smaller than the sum of its proper divisors (1955185584).

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

1085322432 is a wasteful number, since it uses less digits than its factorization.

1085322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332545 (or 332535 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1085322432 is about 32944.2321507119. The cubic root of 1085322432 is about 1027.6682199819.

The spelling of 1085322432 in words is "one billion, eighty-five million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 332513 665026 997539 1330052 1995078 2660104 3990156 5320208 5652721 7980312 10640416 11305442 15960624 16958163 21280832 22610884 31921248 33916326 45221768 63842496 67832652 90443536 135665304 180887072 271330608 361774144 542661216 1085322432