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74951940 = 22357237759
BaseRepresentation
bin1000111011110…
…10110100000100
312020000221201210
410131322310010
5123141430230
611234251420
71600036530
oct435726404
9166027653
1074951940
1139343558
1221126b70
13126b377b
149d50bc0
1568a7eb0
hex477ad04

74951940 has 96 divisors (see below), whose sum is σ = 250306560. Its totient is φ = 16384896.

The previous prime is 74951923. The next prime is 74951953. The reversal of 74951940 is 4915947.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5781 + ... + 13539.

It is an arithmetic number, because the mean of its divisors is an integer number (2607360).

Almost surely, 274951940 is an apocalyptic number.

74951940 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 74951940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125153280).

74951940 is an abundant number, since it is smaller than the sum of its proper divisors (175354620).

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

74951940 is a wasteful number, since it uses less digits than its factorization.

74951940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7801 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 74951940 is about 8657.4788477940. The cubic root of 74951940 is about 421.6262347946.

The spelling of 74951940 in words is "seventy-four million, nine hundred fifty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 7759 9660 15518 23277 31036 38795 46554 54313 77590 93108 108626 116385 155180 162939 178457 217252 232770 271565 325878 356914 465540 535371 543130 651756 713828 814695 892285 1070742 1086260 1249199 1629390 1784570 2141484 2498398 2676855 3258780 3569140 3747597 4996796 5353710 6245995 7495194 10707420 12491990 14990388 18737985 24983980 37475970 74951940