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74940516 = 223273153181
BaseRepresentation
bin1000111011110…
…00000001100100
312020000101001200
410131320001210
5123141044031
611234122500
71566661320
oct435700144
9166011050
1074940516
1139335a12
1221120430
13126ab501
149d4a980
1568a48e6
hex4778064

74940516 has 144 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 20217600.

The previous prime is 74940491. The next prime is 74940517. The reversal of 74940516 is 61504947.

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 (74940517) 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 47 ways as a sum of consecutive naturals, for example, 413946 + ... + 414126.

It is an arithmetic number, because the mean of its divisors is an integer number (1589952).

Almost surely, 274940516 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 74940516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

74940516 is an abundant number, since it is smaller than the sum of its proper divisors (154012572).

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

74940516 is a wasteful number, since it uses less digits than its factorization.

74940516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 74940516 is about 8656.8190462779. The cubic root of 74940516 is about 421.6048126102.

The spelling of 74940516 in words is "seventy-four million, nine hundred forty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 53 62 63 84 93 106 124 126 159 181 186 212 217 252 279 318 362 371 372 434 477 543 558 636 651 724 742 868 954 1086 1113 1116 1267 1302 1484 1629 1643 1908 1953 2172 2226 2534 2604 3258 3286 3339 3801 3906 4452 4929 5068 5611 6516 6572 6678 7602 7812 9593 9858 11222 11403 11501 13356 14787 15204 16833 19186 19716 22444 22806 23002 28779 29574 33666 34503 38372 39277 45612 46004 50499 57558 59148 67151 67332 69006 78554 86337 100998 103509 115116 117831 134302 138012 157108 172674 201453 201996 207018 235662 268604 297383 345348 353493 402906 414036 471324 594766 604359 706986 805812 892149 1189532 1208718 1413972 1784298 2081681 2417436 2676447 3568596 4163362 5352894 6245043 8326724 10705788 12490086 18735129 24980172 37470258 74940516