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1992029520 = 2435131633917
BaseRepresentation
bin111011010111011…
…1111010101010000
312010211100120210010
41312232333111100
513034424421040
6525400034520
7100235654145
oct16656772520
95124316703
101992029520
119324a3298
12477162a40
132599164c0
1414c7c23cc
15b9d3ae80
hex76bbf550

1992029520 has 160 divisors (see below), whose sum is σ = 6692821632. Its totient is φ = 487213056.

The previous prime is 1992029509. The next prime is 1992029531. The reversal of 1992029520 is 259202991.

It is an interprime number because it is at equal distance from previous prime (1992029509) and next prime (1992029531).

It is a Harshad number since it is a multiple of its sum of digits (39).

1992029520 is a modest number, since divided by 29520 gives 19920 as remainder.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 506602 + ... + 510518.

Almost surely, 21992029520 is an apocalyptic number.

1992029520 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 1992029520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346410816).

1992029520 is an abundant number, since it is smaller than the sum of its proper divisors (4700792112).

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

1992029520 is a wasteful number, since it uses less digits than its factorization.

1992029520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 1992029520 is about 44632.1579133252. The cubic root of 1992029520 is about 1258.2451256776.

The spelling of 1992029520 in words is "one billion, nine hundred ninety-two million, twenty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 163 195 208 240 260 312 326 390 489 520 624 652 780 815 978 1040 1304 1560 1630 1956 2119 2445 2608 3120 3260 3912 3917 4238 4890 6357 6520 7824 7834 8476 9780 10595 11751 12714 13040 15668 16952 19560 19585 21190 23502 25428 31336 31785 33904 39120 39170 42380 47004 50856 50921 58755 62672 63570 78340 84760 94008 101712 101842 117510 127140 152763 156680 169520 188016 203684 235020 254280 254605 305526 313360 407368 470040 508560 509210 611052 638471 763815 814736 940080 1018420 1222104 1276942 1527630 1915413 2036840 2444208 2553884 3055260 3192355 3830826 4073680 5107768 6110520 6384710 7661652 8300123 9577065 10215536 12221040 12769420 15323304 16600246 19154130 24900369 25538840 30646608 33200492 38308260 41500615 49800738 51077680 66400984 76616520 83001230 99601476 124501845 132801968 153233040 166002460 199202952 249003690 332004920 398405904 498007380 664009840 996014760 1992029520