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1074184020 = 2232571365579
BaseRepresentation
bin100000000000110…
…1011111101010100
32202212021012110100
41000001223331110
54144442342040
6254331254100
735422261560
oct10001537524
92685235410
101074184020
11501392398
1225b8aa330
13141712260
14a293c6a0
1564486b30
hex4006bf54

1074184020 has 144 divisors (see below), whose sum is σ = 4010348160. Its totient is φ = 226637568.

The previous prime is 1074184003. The next prime is 1074184081. The reversal of 1074184020 is 204814701.

1074184020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 16410 + ... + 49169.

It is an arithmetic number, because the mean of its divisors is an integer number (27849640).

Almost surely, 21074184020 is an apocalyptic number.

1074184020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074184020 is an abundant number, since it is smaller than the sum of its proper divisors (2936164140).

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

1074184020 is a wasteful number, since it uses less digits than its factorization.

1074184020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65614 (or 65609 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1074184020 is about 32774.7466809432. The cubic root of 1074184020 is about 1024.1405510302.

Adding to 1074184020 its reverse (204814701), we get a palindrome (1278998721).

The spelling of 1074184020 in words is "one billion, seventy-four million, one hundred eighty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 65579 131158 196737 262316 327895 393474 459053 590211 655790 786948 852527 918106 983685 1180422 1311580 1377159 1705054 1836212 1967370 2295265 2360844 2557581 2754318 2951055 3410108 3934740 4131477 4262635 4590530 5115162 5508636 5902110 5967689 6885795 7672743 8262954 8525270 9181060 10230324 11804220 11935378 12787905 13771590 15345486 16525908 17050540 17903067 20657385 23870756 25575810 27543180 29838445 30690972 35806134 38363715 41314770 51151620 53709201 59676890 71612268 76727430 82629540 89515335 107418402 119353780 153454860 179030670 214836804 268546005 358061340 537092010 1074184020