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675120576 = 263131971373
BaseRepresentation
bin101000001111011…
…000010111000000
31202001100200022210
4220033120113000
52340312324301
6150554102120
722505300364
oct5017302700
91661320283
10675120576
113170a7099
1216a11a940
13a9b3b040
146593d2a4
153e40aad6
hex283d85c0

675120576 has 112 divisors (see below), whose sum is σ = 1934833824. Its totient is φ = 206524416.

The previous prime is 675120557. The next prime is 675120577. The reversal of 675120576 is 675021576.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675120577) 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, 491026 + ... + 492398.

It is an arithmetic number, because the mean of its divisors is an integer number (17275302).

Almost surely, 2675120576 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 675120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967416912).

675120576 is an abundant number, since it is smaller than the sum of its proper divisors (1259713248).

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

675120576 is a wasteful number, since it uses less digits than its factorization.

675120576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 675120576 is about 25983.0824961166. The cubic root of 675120576 is about 877.2575504078.

The spelling of 675120576 in words is "six hundred seventy-five million, one hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 197 208 312 394 416 591 624 788 832 1182 1248 1373 1576 2364 2496 2561 2746 3152 4119 4728 5122 5492 6304 7683 8238 9456 10244 10984 12608 15366 16476 17849 18912 20488 21968 30732 32952 35698 37824 40976 43936 53547 61464 65904 71396 81952 87872 107094 122928 131808 142792 163904 214188 245856 263616 270481 285584 428376 491712 540962 571168 811443 856752 1081924 1142336 1622886 1713504 2163848 3245772 3427008 3516253 4327696 6491544 7032506 8655392 10548759 12983088 14065012 17310784 21097518 25966176 28130024 42195036 51932352 56260048 84390072 112520096 168780144 225040192 337560288 675120576