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74106720 = 2532553971
BaseRepresentation
bin1000110101011…
…00011101100000
312011110000022100
410122230131200
5122432403340
611204210400
71556616402
oct432543540
9164400270
1074106720
1138916526
1220999a00
1312478b3c
149bb0b72
15678c830
hex46ac760

74106720 has 144 divisors (see below), whose sum is σ = 257926032. Its totient is φ = 19368960.

The previous prime is 74106719. The next prime is 74106727. The reversal of 74106720 is 2760147.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74106727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75835 + ... + 76805.

It is an arithmetic number, because the mean of its divisors is an integer number (1791153).

Almost surely, 274106720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128963016).

74106720 is an abundant number, since it is smaller than the sum of its proper divisors (183819312).

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

74106720 is a wasteful number, since it uses less digits than its factorization.

74106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 74106720 is about 8608.5260062336. The cubic root of 74106720 is about 420.0353711707.

Adding to 74106720 its reverse (2760147), we get a palindrome (76866867).

The spelling of 74106720 in words is "seventy-four million, one hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 971 1060 1272 1440 1590 1696 1908 1942 2120 2385 2544 2913 3180 3816 3884 4240 4770 4855 5088 5826 6360 7632 7768 8480 8739 9540 9710 11652 12720 14565 15264 15536 17478 19080 19420 23304 25440 29130 31072 34956 38160 38840 43695 46608 51463 58260 69912 76320 77680 87390 93216 102926 116520 139824 154389 155360 174780 205852 233040 257315 279648 308778 349560 411704 463167 466080 514630 617556 699120 771945 823408 926334 1029260 1235112 1398240 1543890 1646816 1852668 2058520 2315835 2470224 3087780 3705336 4117040 4631670 4940448 6175560 7410672 8234080 9263340 12351120 14821344 18526680 24702240 37053360 74106720