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74795920 = 24517431279
BaseRepresentation
bin1000111010101…
…00101110010000
312012202000201021
410131110232100
5123121432140
611231045224
71565516623
oct435245620
9165660637
1074795920
1139247311
1221070814
131265a754
149d0ddba
156876b4a
hex4754b90

74795920 has 80 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 27482112.

The previous prime is 74795911. The next prime is 74795921. The reversal of 74795920 is 2959747.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (74795921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57841 + ... + 59119.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 274795920 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 74795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

74795920 is an abundant number, since it is smaller than the sum of its proper divisors (113763440).

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

74795920 is a wasteful number, since it uses less digits than its factorization.

74795920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 74795920 is about 8648.4634473414. The cubic root of 74795920 is about 421.3334790987. Note that the first 3 decimals are identical.

The spelling of 74795920 in words is "seventy-four million, seven hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 136 170 172 215 272 340 344 430 680 688 731 860 1279 1360 1462 1720 2558 2924 3440 3655 5116 5848 6395 7310 10232 11696 12790 14620 20464 21743 25580 29240 43486 51160 54997 58480 86972 102320 108715 109994 173944 217430 219988 274985 347888 434860 439976 549970 869720 879952 934949 1099940 1739440 1869898 2199880 3739796 4399760 4674745 7479592 9349490 14959184 18698980 37397960 74795920