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1085199136 = 257191072383
BaseRepresentation
bin100000010101110…
…1101001100100000
32210121222211100121
41000223231030200
54210302333021
6255403330024
735615016610
oct10053551440
92717884317
101085199136
1150762619a
12263520914
13143a9ab88
14a41a8a40
1565410741
hex40aed320

1085199136 has 96 divisors (see below), whose sum is σ = 2595317760. Its totient is φ = 436306176.

The previous prime is 1085199107. The next prime is 1085199139. The reversal of 1085199136 is 6319915801.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1085199092 and 1085199101.

It is not an unprimeable number, because it can be changed into a prime (1085199139) 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, 454201 + ... + 456583.

It is an arithmetic number, because the mean of its divisors is an integer number (27034560).

Almost surely, 21085199136 is an apocalyptic number.

1085199136 is a gapful number since it is divisible by the number (16) 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 1085199136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297658880).

1085199136 is an abundant number, since it is smaller than the sum of its proper divisors (1510118624).

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

1085199136 is a wasteful number, since it uses less digits than its factorization.

1085199136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 43.

The square root of 1085199136 is about 32942.3608140036. The cubic root of 1085199136 is about 1027.6293030740.

The spelling of 1085199136 in words is "one billion, eighty-five million, one hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 107 112 133 152 214 224 266 304 428 532 608 749 856 1064 1498 1712 2033 2128 2383 2996 3424 4066 4256 4766 5992 8132 9532 11984 14231 16264 16681 19064 23968 28462 32528 33362 38128 45277 56924 65056 66724 76256 90554 113848 133448 181108 227696 254981 266896 316939 362216 455392 509962 533792 633878 724432 1019924 1267756 1448864 1784867 2039848 2535512 3569734 4079696 4844639 5071024 7139468 8159392 9689278 10142048 14278936 19378556 28557872 33912473 38757112 57115744 67824946 77514224 135649892 155028448 271299784 542599568 1085199136