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1093436136 = 2332133731573
BaseRepresentation
bin100000100101100…
…1000001011101000
32211012111022101200
41001023020023220
54214404424021
6300300044200
736045024312
oct10113101350
92735438350
101093436136
11511241831
12266233660
131456c3140
14a53107b2
1565edb126
hex412c82e8

1093436136 has 96 divisors (see below), whose sum is σ = 3275486760. Its totient is φ = 327338496.

The previous prime is 1093436129. The next prime is 1093436159. The reversal of 1093436136 is 6316343901.

1093436136 is a `hidden beast` number, since 1 + 0 + 9 + 34 + 3 + 613 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 934524900 + 158911236 = 30570^2 + 12606^2 .

It is a super-2 number, since 2×10934361362 = 2391205167021220992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1093436136.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18846 + ... + 50418.

Almost surely, 21093436136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1093436136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637743380).

1093436136 is an abundant number, since it is smaller than the sum of its proper divisors (2182050624).

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

1093436136 is a wasteful number, since it uses less digits than its factorization.

1093436136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31635 (or 31628 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1093436136 is about 33067.1458701836. The cubic root of 1093436136 is about 1030.2227613834. Note that the first 3 decimals are identical.

The spelling of 1093436136 in words is "one billion, ninety-three million, four hundred thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 666 888 936 962 1332 1443 1924 2664 2886 3848 4329 5772 8658 11544 17316 31573 34632 63146 94719 126292 189438 252584 284157 378876 410449 568314 757752 820898 1136628 1168201 1231347 1641796 2273256 2336402 2462694 3283592 3504603 3694041 4672804 4925388 7009206 7388082 9345608 9850776 10513809 14018412 14776164 15186613 21027618 28036824 29552328 30373226 42055236 45559839 60746452 84110472 91119678 121492904 136679517 182239356 273359034 364478712 546718068 1093436136