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74474640 = 243651277
BaseRepresentation
bin1000111000001…
…10010010010000
312012010201000000
410130012102100
5123031142030
611220130000
71563011142
oct434062220
9165121000
1074474640
1139047999
1220b36900
1312577446
149c68c92
156811860
hex4706490

74474640 has 140 divisors (see below), whose sum is σ = 259814844. Its totient is φ = 19844352.

The previous prime is 74474633. The next prime is 74474663. The reversal of 74474640 is 4647447.

74474640 is a `hidden beast` number, since 7 + 4 + 4 + 7 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37896336 + 36578304 = 6156^2 + 6048^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 74474595 and 74474604.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57682 + ... + 58958.

Almost surely, 274474640 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 74474640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129907422).

74474640 is an abundant number, since it is smaller than the sum of its proper divisors (185340204).

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

74474640 is a wasteful number, since it uses less digits than its factorization.

74474640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 74474640 is about 8629.8690604203. The cubic root of 74474640 is about 420.7293449782.

The spelling of 74474640 in words is "seventy-four million, four hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1277 1296 1458 1620 1944 2160 2430 2554 2916 3240 3645 3831 3888 4860 5108 5832 6385 6480 7290 7662 9720 10216 11493 11664 12770 14580 15324 19155 19440 20432 22986 25540 29160 30648 34479 38310 45972 51080 57465 58320 61296 68958 76620 91944 102160 103437 114930 137916 153240 172395 183888 206874 229860 275832 306480 310311 344790 413748 459720 517185 551664 620622 689580 827496 919440 930933 1034370 1241244 1379160 1551555 1654992 1861866 2068740 2482488 2758320 3103110 3723732 4137480 4654665 4964976 6206220 7447464 8274960 9309330 12412440 14894928 18618660 24824880 37237320 74474640