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75746340 = 2234546757
BaseRepresentation
bin1001000001111…
…00110000100100
312021112022110000
410200330300210
5123342340330
611303301300
71606555545
oct440746044
9167468400
1075746340
113983638a
122144a830
1312901227
14a0ba4cc
1569b3560
hex483cc24

75746340 has 60 divisors (see below), whose sum is σ = 237624156. Its totient is φ = 20198592.

The previous prime is 75746317. The next prime is 75746351. The reversal of 75746340 is 4364757.

It can be written as a sum of positive squares in 2 ways, for example, as 51065316 + 24681024 = 7146^2 + 4968^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 75746295 and 75746304.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21759 + ... + 24998.

Almost surely, 275746340 is an apocalyptic number.

It is an amenable number.

75746340 is an abundant number, since it is smaller than the sum of its proper divisors (161877816).

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

75746340 is a wasteful number, since it uses less digits than its factorization.

75746340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46778 (or 46767 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 75746340 is about 8703.2373287185. The cubic root of 75746340 is about 423.1105792085.

The spelling of 75746340 in words is "seventy-five million, seven hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 46757 93514 140271 187028 233785 280542 420813 467570 561084 701355 841626 935140 1262439 1402710 1683252 2104065 2524878 2805420 3787317 4208130 5049756 6312195 7574634 8416260 12624390 15149268 18936585 25248780 37873170 75746340