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74730040 = 235711191277
BaseRepresentation
bin1000111010001…
…00101000111000
312012121200100021
410131010220320
5123112330130
611225420224
71565123560
oct435045070
9165550307
1074730040
1139201870
122103a674
1312636778
149cd3da0
15686237a
hex4744a38

74730040 has 128 divisors (see below), whose sum is σ = 220838400. Its totient is φ = 22049280.

The previous prime is 74730037. The next prime is 74730041. The reversal of 74730040 is 4003747.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 74729987 and 74730014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74730041) 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, 57882 + ... + 59158.

It is an arithmetic number, because the mean of its divisors is an integer number (1725300).

Almost surely, 274730040 is an apocalyptic number.

74730040 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 74730040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110419200).

74730040 is an abundant number, since it is smaller than the sum of its proper divisors (146108360).

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

74730040 is a wasteful number, since it uses less digits than its factorization.

74730040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 74730040 is about 8644.6538392234. The cubic root of 74730040 is about 421.2097397150.

Adding to 74730040 its reverse (4003747), we get a palindrome (78733787).

The spelling of 74730040 in words is "seventy-four million, seven hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 418 440 532 616 665 760 770 836 1045 1064 1277 1330 1463 1540 1672 2090 2554 2660 2926 3080 4180 5108 5320 5852 6385 7315 8360 8939 10216 11704 12770 14047 14630 17878 24263 25540 28094 29260 35756 44695 48526 51080 56188 58520 70235 71512 89390 97052 98329 112376 121315 140470 169841 178780 194104 196658 242630 266893 280940 339682 357560 393316 485260 491645 533786 561880 679364 786632 849205 970520 983290 1067572 1334465 1358728 1698410 1868251 1966580 2135144 2668930 3396820 3736502 3933160 5337860 6793640 7473004 9341255 10675720 14946008 18682510 37365020 74730040