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1745068040 = 2352911313313
BaseRepresentation
bin110100000000011…
…1010000000001000
311111121122122022122
41220000322000020
512033214134130
6445054510412
761146555632
oct15000720010
94447578278
101745068040
118160554a1
12408505408
1321a6c8b51
14127a97a52
15a33072e5
hex6803a008

1745068040 has 64 divisors (see below), whose sum is σ = 4098049200. Its totient is φ = 667942912.

The previous prime is 1745068021. The next prime is 1745068049. The reversal of 1745068040 is 408605471.

It can be written as a sum of positive squares in 8 ways, for example, as 178649956 + 1566418084 = 13366^2 + 39578^2 .

It is not an unprimeable number, because it can be changed into a prime (1745068049) 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, 124424 + ... + 137736.

Almost surely, 21745068040 is an apocalyptic number.

1745068040 is a gapful number since it is divisible by the number (10) 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 1745068040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049024600).

1745068040 is an abundant number, since it is smaller than the sum of its proper divisors (2352981160).

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

1745068040 is a wasteful number, since it uses less digits than its factorization.

1745068040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13466 (or 13462 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 1745068040 is about 41774.0115382758. The cubic root of 1745068040 is about 1203.9379978594.

The spelling of 1745068040 in words is "one billion, seven hundred forty-five million, sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 113 116 145 226 232 290 452 565 580 904 1130 1160 2260 3277 4520 6554 13108 13313 16385 26216 26626 32770 53252 65540 66565 106504 131080 133130 266260 386077 532520 772154 1504369 1544308 1930385 3008738 3088616 3860770 6017476 7521845 7721540 12034952 15043690 15443080 30087380 43626701 60174760 87253402 174506804 218133505 349013608 436267010 872534020 1745068040