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74668440 = 23357118081
BaseRepresentation
bin1000111001101…
…01100110011000
312012111112211210
410130311212120
5123103342230
611224223120
71564446150
oct434654630
9165445753
1074668440
113916a560
122100aaa0
1312614712
149cb9760
15684deb0
hex4735998

74668440 has 128 divisors (see below), whose sum is σ = 279313920. Its totient is φ = 15513600.

The previous prime is 74668439. The next prime is 74668441. The reversal of 74668440 is 4486647.

It is an interprime number because it is at equal distance from previous prime (74668439) and next prime (74668441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74668441) 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 31 ways as a sum of consecutive naturals, for example, 5200 + ... + 13280.

It is an arithmetic number, because the mean of its divisors is an integer number (2182140).

Almost surely, 274668440 is an apocalyptic number.

74668440 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 74668440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139656960).

74668440 is an abundant number, since it is smaller than the sum of its proper divisors (204645480).

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

74668440 is a wasteful number, since it uses less digits than its factorization.

74668440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113 (or 8109 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 74668440 is about 8641.0902089956. The cubic root of 74668440 is about 421.0939734516.

The spelling of 74668440 in words is "seventy-four million, six hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 8081 9240 16162 24243 32324 40405 48486 56567 64648 80810 88891 96972 113134 121215 161620 169701 177782 193944 226268 242430 266673 282835 323240 339402 355564 444455 452536 484860 533346 565670 622237 678804 711128 848505 888910 969720 1066692 1131340 1244474 1333365 1357608 1697010 1777820 1866711 2133384 2262680 2488948 2666730 3111185 3394020 3555640 3733422 4977896 5333460 6222370 6788040 7466844 9333555 10666920 12444740 14933688 18667110 24889480 37334220 74668440