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135287730 = 23251738689
BaseRepresentation
bin10000001000001…
…01001110110010
3100102120022212200
420010011032302
5234113201410
621231404030
73231632604
oct1004051662
9312508780
10135287730
116a403746
1239383616
132204a516
1413d79174
15bd253c0
hex81053b2

135287730 has 48 divisors (see below), whose sum is σ = 353822040. Its totient is φ = 35864064.

The previous prime is 135287723. The next prime is 135287753. The reversal of 135287730 is 37782531.

It can be written as a sum of positive squares in 4 ways, for example, as 135280161 + 7569 = 11631^2 + 87^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11226 + ... + 19914.

Almost surely, 2135287730 is an apocalyptic number.

135287730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135287730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176911020).

135287730 is an abundant number, since it is smaller than the sum of its proper divisors (218534310).

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

135287730 is a wasteful number, since it uses less digits than its factorization.

135287730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8875 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 135287730 is about 11631.3253758976. The cubic root of 135287730 is about 513.3569782591.

The spelling of 135287730 in words is "one hundred thirty-five million, two hundred eighty-seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2595 3114 5190 7785 8689 15570 17378 26067 43445 52134 78201 86890 130335 156402 260670 391005 782010 1503197 3006394 4509591 7515985 9019182 13528773 15031970 22547955 27057546 45095910 67643865 135287730