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135780470 = 2572487569
BaseRepresentation
bin10000001011111…
…01100001110110
3100110111100210022
420011331201312
5234224433340
621250125142
73236054300
oct1005754166
9313440708
10135780470
116a70a971
12395807b2
1322190897
1414066970
15bdc13b5
hex817d876

135780470 has 48 divisors (see below), whose sum is σ = 285392160. Its totient is φ = 46376064.

The previous prime is 135780451. The next prime is 135780481. The reversal of 135780470 is 74087531.

135780470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 135780470.

It is a congruent number.

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, 238346 + ... + 238914.

It is an arithmetic number, because the mean of its divisors is an integer number (5945670).

Almost surely, 2135780470 is an apocalyptic number.

135780470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135780470 is an abundant number, since it is smaller than the sum of its proper divisors (149611690).

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

135780470 is a wasteful number, since it uses less digits than its factorization.

135780470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 135780470 is about 11652.4877172216. The cubic root of 135780470 is about 513.9794664439.

The spelling of 135780470 in words is "one hundred thirty-five million, seven hundred eighty thousand, four hundred seventy".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 487 490 569 974 1138 2435 2845 3409 3983 4870 5690 6818 7966 17045 19915 23863 27881 34090 39830 47726 55762 119315 139405 238630 277103 278810 554206 1385515 1939721 2771030 3879442 9698605 13578047 19397210 27156094 67890235 135780470