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74812680 = 23335531307
BaseRepresentation
bin1000111010110…
…00110100001000
312012202212201000
410131120310020
5123123001210
611231255000
71565616525
oct435306410
9165685630
1074812680
1139258968
122107a460
1312665277
149d1614c
15687bac0
hex4758d08

74812680 has 128 divisors (see below), whose sum is σ = 254275200. Its totient is φ = 19558656.

The previous prime is 74812679. The next prime is 74812681. The reversal of 74812680 is 8621847.

It is an interprime number because it is at equal distance from previous prime (74812679) and next prime (74812681).

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

It is not an unprimeable number, because it can be changed into a prime (74812681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56587 + ... + 57893.

It is an arithmetic number, because the mean of its divisors is an integer number (1986525).

Almost surely, 274812680 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 74812680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127137600).

74812680 is an abundant number, since it is smaller than the sum of its proper divisors (179462520).

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

74812680 is a wasteful number, since it uses less digits than its factorization.

74812680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 74812680 is about 8649.4323513165. The cubic root of 74812680 is about 421.3649470439.

The spelling of 74812680 in words is "seventy-four million, eight hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1060 1080 1272 1307 1431 1590 1908 2120 2385 2614 2862 3180 3816 3921 4770 5228 5724 6360 6535 7155 7842 9540 10456 11448 11763 13070 14310 15684 19080 19605 23526 26140 28620 31368 35289 39210 47052 52280 57240 58815 69271 70578 78420 94104 117630 138542 141156 156840 176445 207813 235260 277084 282312 346355 352890 415626 470520 554168 623439 692710 705780 831252 1039065 1246878 1385420 1411560 1662504 1870317 2078130 2493756 2770840 3117195 3740634 4156260 4987512 6234390 7481268 8312520 9351585 12468780 14962536 18703170 24937560 37406340 74812680