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1330827008 = 2871674447
BaseRepresentation
bin100111101010010…
…1100111100000000
310102202012000110012
41033110230330000
510211142431013
6340020124052
744656562060
oct11724547400
93382160405
101330827008
11623243035
12311836628
1318293c504
14c8a673a0
157bc7e1a8
hex4f52cf00

1330827008 has 72 divisors (see below), whose sum is σ = 3054815232. Its totient is φ = 566811648.

The previous prime is 1330826971. The next prime is 1330827019. The reversal of 1330827008 is 8007280331.

It is a super-2 number, since 2×13308270082 = 3542201050444464128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297041 + ... + 301487.

Almost surely, 21330827008 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 1330827008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527407616).

1330827008 is an abundant number, since it is smaller than the sum of its proper divisors (1723988224).

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

1330827008 is an equidigital number, since it uses as much as digits as its factorization.

1330827008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1330827008 is about 36480.5017509354. The cubic root of 1330827008 is about 1099.9523417369.

The spelling of 1330827008 in words is "one billion, three hundred thirty million, eight hundred twenty-seven thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 167 224 256 334 448 668 896 1169 1336 1792 2338 2672 4447 4676 5344 8894 9352 10688 17788 18704 21376 31129 35576 37408 42752 62258 71152 74816 124516 142304 149632 249032 284608 299264 498064 569216 742649 996128 1138432 1485298 1992256 2970596 3984512 5198543 5941192 7969024 10397086 11882384 20794172 23764768 41588344 47529536 83176688 95059072 166353376 190118144 332706752 665413504 1330827008