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75247340 = 225741567
BaseRepresentation
bin1000111110000…
…10111011101100
312020120221221112
410133002323230
5123230403330
611244451152
71602410000
oct437027354
9166527845
1075247340
1139525493
1221249ab8
131278806c
149dca700
156915795
hex47c2eec

75247340 has 60 divisors (see below), whose sum is σ = 184462656. Its totient is φ = 25782624.

The previous prime is 75247331. The next prime is 75247349. The reversal of 75247340 is 4374257.

It is an interprime number because it is at equal distance from previous prime (75247331) and next prime (75247349).

It is a junction number, because it is equal to n+sod(n) for n = 75247297 and 75247306.

It is not an unprimeable number, because it can be changed into a prime (75247349) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47237 + ... + 48803.

Almost surely, 275247340 is an apocalyptic number.

75247340 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 75247340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92231328).

75247340 is an abundant number, since it is smaller than the sum of its proper divisors (109215316).

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

75247340 is a wasteful number, since it uses less digits than its factorization.

75247340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 75247340 is about 8674.5224652427. The cubic root of 75247340 is about 422.1794120440.

The spelling of 75247340 in words is "seventy-five million, two hundred forty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1567 1715 2401 3134 3430 4802 6268 6860 7835 9604 10969 12005 15670 21938 24010 31340 43876 48020 54845 76783 109690 153566 219380 307132 383915 537481 767830 1074962 1535660 2149924 2687405 3762367 5374810 7524734 10749620 15049468 18811835 37623670 75247340