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74531440 = 2453141733
BaseRepresentation
bin1000111000101…
…00001001110000
312012020120220201
410130110021300
5123040001230
611221244544
71563335554
oct434241160
9165216821
1074531440
1139086635
1220b63754
1312597259
149c81864
1568235ca
hex4714270

74531440 has 80 divisors (see below), whose sum is σ = 183488256. Its totient is φ = 28108800.

The previous prime is 74531437. The next prime is 74531449. The reversal of 74531440 is 4413547.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 74531399 and 74531408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74531449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101314 + ... + 102046.

Almost surely, 274531440 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 74531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91744128).

74531440 is an abundant number, since it is smaller than the sum of its proper divisors (108956816).

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

74531440 is a wasteful number, since it uses less digits than its factorization.

74531440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 74531440 is about 8633.1593290058. The cubic root of 74531440 is about 420.8362778171.

Adding to 74531440 its reverse (4413547), we get a palindrome (78944987).

The spelling of 74531440 in words is "seventy-four million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 41 62 80 82 124 155 164 205 248 310 328 410 496 620 656 733 820 1240 1271 1466 1640 2480 2542 2932 3280 3665 5084 5864 6355 7330 10168 11728 12710 14660 20336 22723 25420 29320 30053 45446 50840 58640 60106 90892 101680 113615 120212 150265 181784 227230 240424 300530 363568 454460 480848 601060 908920 931643 1202120 1817840 1863286 2404240 3726572 4658215 7453144 9316430 14906288 18632860 37265720 74531440