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1919528940 = 2235722328387
BaseRepresentation
bin111001001101001…
…1010111111101100
311221202221011200110
41302122122333230
512412344411230
6514250100020
765365504200
oct16232327754
94852834613
101919528940
118a558455a
12456a1a610
132478b0754
14142d0cb00
15b37b94b0
hex7269afec

1919528940 has 144 divisors (see below), whose sum is σ = 6524243712. Its totient is φ = 419658624.

The previous prime is 1919528929. The next prime is 1919528953. The reversal of 1919528940 is 498259191.

It is a self number, because there is not a number n which added to its sum of digits gives 1919528940.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53427 + ... + 81813.

It is an arithmetic number, because the mean of its divisors is an integer number (45307248).

Almost surely, 21919528940 is an apocalyptic number.

1919528940 is a gapful number since it is divisible by the number (10) 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 1919528940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262121856).

1919528940 is an abundant number, since it is smaller than the sum of its proper divisors (4604714772).

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

1919528940 is a wasteful number, since it uses less digits than its factorization.

1919528940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28436 (or 28427 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The square root of 1919528940 is about 43812.4290584304. The cubic root of 1919528940 is about 1242.7913487244.

The spelling of 1919528940 in words is "one billion, nine hundred nineteen million, five hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 49 60 69 70 84 92 98 105 115 138 140 147 161 196 210 230 245 276 294 322 345 420 460 483 490 588 644 690 735 805 966 980 1127 1380 1470 1610 1932 2254 2415 2940 3220 3381 4508 4830 5635 6762 9660 11270 13524 16905 22540 28387 33810 56774 67620 85161 113548 141935 170322 198709 283870 340644 397418 425805 567740 596127 652901 794836 851610 993545 1192254 1305802 1390963 1703220 1958703 1987090 2384508 2611604 2781926 2980635 3264505 3917406 3974180 4172889 4570307 5563852 5961270 6529010 6954815 7834812 8345778 9140614 9793515 11922540 13058020 13710921 13909630 16691556 18281228 19587030 20864445 22851535 27421842 27819260 31992149 39174060 41728890 45703070 54843684 63984298 68554605 83457780 91406140 95976447 127968596 137109210 159960745 191952894 274218420 319921490 383905788 479882235 639842980 959764470 1919528940