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1045299920 = 24574153859
BaseRepresentation
bin111110010011100…
…000001011010000
32200211220201220212
4332103200023100
54120044044140
6251420223252
734621621430
oct7623401320
92624821825
101045299920
11497054335
1225209ab28
1313873b182
149cb802c0
1561b7d765
hex3e4e02d0

1045299920 has 160 divisors (see below), whose sum is σ = 2902314240. Its totient is φ = 342650880.

The previous prime is 1045299919. The next prime is 1045299947. The reversal of 1045299920 is 299925401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1216451 + ... + 1217309.

It is an arithmetic number, because the mean of its divisors is an integer number (18139464).

Almost surely, 21045299920 is an apocalyptic number.

1045299920 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 1045299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451157120).

1045299920 is an abundant number, since it is smaller than the sum of its proper divisors (1857014320).

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

1045299920 is a wasteful number, since it uses less digits than its factorization.

1045299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 1045299920 is about 32331.0983419988. The cubic root of 1045299920 is about 1014.8775346271.

The spelling of 1045299920 in words is "one billion, forty-five million, two hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 53 56 70 80 82 106 112 140 164 205 212 265 280 287 328 371 410 424 530 560 574 656 742 820 848 859 1060 1148 1435 1484 1640 1718 1855 2120 2173 2296 2870 2968 3280 3436 3710 4240 4295 4346 4592 5740 5936 6013 6872 7420 8590 8692 10865 11480 12026 13744 14840 15211 17180 17384 21730 22960 24052 29680 30065 30422 34360 34768 35219 43460 45527 48104 60130 60844 68720 70438 76055 86920 91054 96208 120260 121688 140876 152110 173840 176095 182108 227635 240520 243376 246533 281752 304220 318689 352190 364216 455270 481040 493066 563504 608440 637378 704380 728432 910540 986132 1216880 1232665 1274756 1408760 1593445 1821080 1866607 1972264 2465330 2549512 2817520 3186890 3642160 3733214 3944528 4930660 5099024 6373780 7466428 9333035 9861320 12747560 13066249 14932856 18666070 19722640 25495120 26132498 29865712 37332140 52264996 65331245 74664280 104529992 130662490 149328560 209059984 261324980 522649960 1045299920