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1071475920 = 243254731663
BaseRepresentation
bin111111110111010…
…110110011010000
32202200011121122100
4333313112303100
54143244212140
6254153240400
735360252334
oct7767266320
92680147570
101071475920
114aa902799
1225aa03100
13140ca4728
14a24357c4
15640ee530
hex3fdd6cd0

1071475920 has 120 divisors (see below), whose sum is σ = 3675050496. Its totient is φ = 279638784.

The previous prime is 1071475903. The next prime is 1071475943. The reversal of 1071475920 is 295741701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10714759202 = 2296121294279692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 18009 + ... + 49671.

Almost surely, 21071475920 is an apocalyptic number.

1071475920 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 1071475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837525248).

1071475920 is an abundant number, since it is smaller than the sum of its proper divisors (2603574576).

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

1071475920 is a wasteful number, since it uses less digits than its factorization.

1071475920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31729 (or 31720 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1071475920 is about 32733.4067887838. The cubic root of 1071475920 is about 1023.2791812343.

The spelling of 1071475920 in words is "one billion, seventy-one million, four hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 31663 33840 63326 94989 126652 158315 189978 253304 284967 316630 379956 474945 506608 569934 633260 759912 949890 1139868 1266520 1424835 1488161 1519824 1899780 2279736 2533040 2849670 2976322 3799560 4464483 4559472 5699340 5952644 7440805 7599120 8928966 11398680 11905288 13393449 14881610 17857932 22322415 22797360 23810576 26786898 29763220 35715864 44644830 53573796 59526440 66967245 71431728 89289660 107147592 119052880 133934490 178579320 214295184 267868980 357158640 535737960 1071475920