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1921290120 = 2332537144241
BaseRepresentation
bin111001010000100…
…1000111110001000
311221220020122120100
41302201020332020
512413322240440
6514351525400
765416460631
oct16241107610
94856218510
101921290120
118a6577782
12457529860
13248079279
1414324a888
15b3a16230
hex72848f88

1921290120 has 96 divisors (see below), whose sum is σ = 6412999320. Its totient is φ = 498493440.

The previous prime is 1921290043. The next prime is 1921290143. The reversal of 1921290120 is 210921291.

It can be written as a sum of positive squares in 4 ways, for example, as 1867795524 + 53494596 = 43218^2 + 7314^2 .

It is a super-2 number, since 2×19212901202 = 7382711450419228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58801 + ... + 85440.

Almost surely, 21921290120 is an apocalyptic number.

1921290120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1921290120 is an abundant number, since it is smaller than the sum of its proper divisors (4491709200).

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

1921290120 is a wasteful number, since it uses less digits than its factorization.

1921290120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144295 (or 144288 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1921290120 is about 43832.5235413158. The cubic root of 1921290120 is about 1243.1713221919.

The spelling of 1921290120 in words is "one billion, nine hundred twenty-one million, two hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 144241 288482 432723 576964 721205 865446 1153928 1298169 1442410 1730892 2163615 2596338 2884820 3461784 4327230 5192676 5336917 5769640 6490845 8654460 10385352 10673834 12981690 16010751 17308920 21347668 25963380 26684585 32021502 42695336 48032253 51926760 53369170 64043004 80053755 96064506 106738340 128086008 160107510 192129012 213476680 240161265 320215020 384258024 480322530 640430040 960645060 1921290120