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1930368 = 27311457
BaseRepresentation
bin111010111010010000000
310122001222010
413113102000
5443232433
6105212520
722256616
oct7272200
93561863
101930368
1110a9350
12791140
1352783b
143836b6
15281e63
hex1d7480

1930368 has 64 divisors (see below), whose sum is σ = 5605920. Its totient is φ = 583680.

The previous prime is 1930351. The next prime is 1930373. The reversal of 1930368 is 8630391.

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

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, 3996 + ... + 4452.

21930368 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 1930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802960).

1930368 is an abundant number, since it is smaller than the sum of its proper divisors (3675552).

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

1930368 is a wasteful number, since it uses less digits than its factorization.

1930368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1930368 is about 1389.3768387302. The cubic root of 1930368 is about 124.5126194850.

The spelling of 1930368 in words is "one million, nine hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 457 528 704 914 1056 1371 1408 1828 2112 2742 3656 4224 5027 5484 7312 10054 10968 14624 15081 20108 21936 29248 30162 40216 43872 58496 60324 80432 87744 120648 160864 175488 241296 321728 482592 643456 965184 1930368