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1690368 = 2833171
BaseRepresentation
bin110011100101100000000
310011212202020
412130230000
5413042433
6100121440
720240121
oct6345400
93155666
101690368
11a54aa9
12696280
13472524
14320048
15235cb3
hex19cb00

1690368 has 72 divisors (see below), whose sum is σ = 4709376. Its totient is φ = 537600.

The previous prime is 1690357. The next prime is 1690387. The reversal of 1690368 is 8630961.

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, 23773 + ... + 23843.

It is an arithmetic number, because the mean of its divisors is an integer number (65408).

21690368 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 1690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354688).

1690368 is an abundant number, since it is smaller than the sum of its proper divisors (3019008).

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

1690368 is an equidigital number, since it uses as much as digits as its factorization.

1690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1690368 is about 1300.1415307573. The cubic root of 1690368 is about 119.1224876306.

The spelling of 1690368 in words is "one million, six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 71 93 96 124 128 142 186 192 213 248 256 284 372 384 426 496 568 744 768 852 992 1136 1488 1704 1984 2201 2272 2976 3408 3968 4402 4544 5952 6603 6816 7936 8804 9088 11904 13206 13632 17608 18176 23808 26412 27264 35216 52824 54528 70432 105648 140864 211296 281728 422592 563456 845184 1690368