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135703818 = 232232989127
BaseRepresentation
bin10000001011010…
…10110100001010
3100110100110122100
420011222310022
5234220010233
621244334230
73235314645
oct1005526412
9313313570
10135703818
116a668318
1239544376
1322164a23
1414046a5c
15bda8813
hex816ad0a

135703818 has 96 divisors (see below), whose sum is σ = 323481600. Its totient is φ = 40981248.

The previous prime is 135703807. The next prime is 135703823. The reversal of 135703818 is 818307531.

135703818 is a `hidden beast` number, since 1 + 3 + 570 + 3 + 81 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068471 + ... + 1068597.

It is an arithmetic number, because the mean of its divisors is an integer number (3369600).

Almost surely, 2135703818 is an apocalyptic number.

135703818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135703818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

135703818 is an abundant number, since it is smaller than the sum of its proper divisors (187777782).

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

135703818 is a wasteful number, since it uses less digits than its factorization.

135703818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 135703818 is about 11649.1981698313. The cubic root of 135703818 is about 513.8827294830.

The spelling of 135703818 in words is "one hundred thirty-five million, seven hundred three thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 89 127 138 174 178 207 254 261 267 381 414 522 534 667 762 801 1143 1334 1602 2001 2047 2286 2581 2921 3683 4002 4094 5162 5842 6003 6141 7366 7743 8763 11049 11303 12006 12282 15486 17526 18423 22098 22606 23229 26289 33147 33909 36846 46458 52578 59363 66294 67818 84709 101727 118726 169418 178089 203454 254127 259969 327787 356178 508254 519938 534267 655574 762381 779907 983361 1068534 1524762 1559814 1966722 2339721 2950083 4679442 5900166 7539101 15078202 22617303 45234606 67851909 135703818