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135462690 = 232511293467
BaseRepresentation
bin10000001001011…
…11111100100010
3100102220012212200
420010233330202
5234134301230
621235234030
73233261646
oct1004577442
9312805780
10135462690
116a513140
1239448916
13220ac04c
1413dc2c26
15bd5c160
hex812ff22

135462690 has 96 divisors (see below), whose sum is σ = 386358336. Its totient is φ = 32657280.

The previous prime is 135462673. The next prime is 135462697. The reversal of 135462690 is 96264531.

It is a happy number.

135462690 is a `hidden beast` number, since 1 + 3 + 546 + 26 + 90 = 666.

It is a super-2 number, since 2×1354626902 = 36700280764072200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135462697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289837 + ... + 290303.

It is an arithmetic number, because the mean of its divisors is an integer number (4024566).

Almost surely, 2135462690 is an apocalyptic number.

135462690 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 135462690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193179168).

135462690 is an abundant number, since it is smaller than the sum of its proper divisors (250895646).

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

135462690 is a wasteful number, since it uses less digits than its factorization.

135462690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 135462690 is about 11638.8440147637. The cubic root of 135462690 is about 513.5781814835.

The spelling of 135462690 in words is "one hundred thirty-five million, four hundred sixty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 293 330 467 495 586 879 934 990 1401 1465 1758 2335 2637 2802 2930 3223 4203 4395 4670 5137 5274 6446 7005 8406 8790 9669 10274 13185 14010 15411 16115 19338 21015 25685 26370 29007 30822 32230 42030 46233 48345 51370 58014 77055 92466 96690 136831 145035 154110 231165 273662 290070 410493 462330 684155 820986 1231479 1368310 1505141 2052465 2462958 3010282 4104930 4515423 6157395 7525705 9030846 12314790 13546269 15051410 22577115 27092538 45154230 67731345 135462690