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74868080 = 2457271269
BaseRepresentation
bin1000111011001…
…10010101110000
312012212200200212
410131212111300
5123131234310
611232403252
71566240200
oct435462560
9165780625
1074868080
1139296551
12210a6528
1312684551
149d2c400
15688d205
hex4766570

74868080 has 120 divisors (see below), whose sum is σ = 206102880. Its totient is φ = 25213440.

The previous prime is 74868049. The next prime is 74868083. The reversal of 74868080 is 8086847.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74868083) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 278186 + ... + 278454.

It is an arithmetic number, because the mean of its divisors is an integer number (1717524).

Almost surely, 274868080 is an apocalyptic number.

74868080 is a gapful number since it is divisible by the number (70) 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 74868080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103051440).

74868080 is an abundant number, since it is smaller than the sum of its proper divisors (131234800).

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

74868080 is a wasteful number, since it uses less digits than its factorization.

74868080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 74868080 is about 8652.6342809574. The cubic root of 74868080 is about 421.4689305680.

The spelling of 74868080 in words is "seventy-four million, eight hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 71 80 98 112 140 142 196 245 269 280 284 355 392 490 497 538 560 568 710 784 980 994 1076 1136 1345 1420 1883 1960 1988 2152 2485 2690 2840 3479 3766 3920 3976 4304 4970 5380 5680 6958 7532 7952 9415 9940 10760 13181 13916 15064 17395 18830 19099 19880 21520 26362 27832 30128 34790 37660 38198 39760 52724 55664 65905 69580 75320 76396 95495 105448 131810 133693 139160 150640 152792 190990 210896 263620 267386 278320 305584 381980 527240 534772 668465 763960 935851 1054480 1069544 1336930 1527920 1871702 2139088 2673860 3743404 4679255 5347720 7486808 9358510 10695440 14973616 18717020 37434040 74868080