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1132683648 = 2737973701
BaseRepresentation
bin100001110000011…
…0110000110000000
32220221100021212020
41003200312012000
54304431334043
6304221201440
740032436455
oct10340660600
92827307766
101132683648
11531408a98
12277400280
13150885315
14aa60982c
156968ee83
hex43836180

1132683648 has 64 divisors (see below), whose sum is σ = 3013279920. Its totient is φ = 376985600.

The previous prime is 1132683641. The next prime is 1132683649. The reversal of 1132683648 is 8463862311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132683641) 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, 304198 + ... + 307898.

Almost surely, 21132683648 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 1132683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506639960).

1132683648 is an abundant number, since it is smaller than the sum of its proper divisors (1880596272).

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

1132683648 is an equidigital number, since it uses as much as digits as its factorization.

1132683648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4503 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 1132683648 is about 33655.3658128982. The cubic root of 1132683648 is about 1042.4043385933.

The spelling of 1132683648 in words is "one billion, one hundred thirty-two million, six hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 797 1594 2391 3188 3701 4782 6376 7402 9564 11103 12752 14804 19128 22206 25504 29608 38256 44412 51008 59216 76512 88824 102016 118432 153024 177648 236864 306048 355296 473728 710592 1421184 2949697 5899394 8849091 11798788 17698182 23597576 35396364 47195152 70792728 94390304 141585456 188780608 283170912 377561216 566341824 1132683648