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1919420928 = 2933433229
BaseRepresentation
bin111001001101000…
…0000101000000000
311221202201200112000
41302122000220000
512412332432203
6514243504000
765364544245
oct16232005000
94852650460
101919420928
118a5510397
12456988000
13247873539
14142cc15cc
15b37974a3
hex72680a00

1919420928 has 160 divisors (see below), whose sum is σ = 5815550400. Its totient is φ = 624734208.

The previous prime is 1919420911. The next prime is 1919420929. The reversal of 1919420928 is 8290249191.

It is not an unprimeable number, because it can be changed into a prime (1919420929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592818 + ... + 596046.

It is an arithmetic number, because the mean of its divisors is an integer number (36347190).

Almost surely, 21919420928 is an apocalyptic number.

1919420928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1919420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907775200).

1919420928 is an abundant number, since it is smaller than the sum of its proper divisors (3896129472).

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

1919420928 is an equidigital number, since it uses as much as digits as its factorization.

1919420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1919420928 is about 43811.1963771819. The cubic root of 1919420928 is about 1242.7680376411.

The spelling of 1919420928 in words is "one billion, nine hundred nineteen million, four hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 256 258 288 344 384 387 432 512 516 576 688 768 774 864 1032 1152 1161 1376 1536 1548 1728 2064 2304 2322 2752 3096 3229 3456 4128 4608 4644 5504 6192 6458 6912 8256 9288 9687 11008 12384 12916 13824 16512 18576 19374 22016 24768 25832 29061 33024 37152 38748 49536 51664 58122 66048 74304 77496 87183 99072 103328 116244 138847 148608 154992 174366 198144 206656 232488 277694 297216 309984 348732 413312 416541 464976 555388 594432 619968 697464 826624 833082 929952 1110776 1239936 1249623 1394928 1653248 1666164 1859904 2221552 2479872 2499246 2789856 3332328 3719808 3748869 4443104 4959744 4998492 5579712 6664656 7439616 7497738 8886208 9996984 11159424 13329312 14879232 14995476 17772416 19993968 22318848 26658624 29990952 35544832 39987936 44637696 53317248 59981904 71089664 79975872 106634496 119963808 159951744 213268992 239927616 319903488 479855232 639806976 959710464 1919420928