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136866330 = 232523371787
BaseRepresentation
bin10000010100001…
…10101000011010
3100112112112022100
420022012220122
5240014210310
621325304230
73251226126
oct1012065032
9315475270
10136866330
1170291777
1239a05076
1322480bc3
141426a586
15c037ec0
hex8286a1a

136866330 has 96 divisors (see below), whose sum is σ = 381573504. Its totient is φ = 33948288.

The previous prime is 136866263. The next prime is 136866347. The reversal of 136866330 is 33668631.

136866330 is a `hidden beast` number, since 13 + 6 + 8 + 6 + 633 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75697 + ... + 77483.

It is an arithmetic number, because the mean of its divisors is an integer number (3974724).

Almost surely, 2136866330 is an apocalyptic number.

136866330 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 136866330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190786752).

136866330 is an abundant number, since it is smaller than the sum of its proper divisors (244707174).

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

136866330 is a wasteful number, since it uses less digits than its factorization.

136866330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 136866330 is about 11698.9884178078. The cubic root of 136866330 is about 515.3459578878.

The spelling of 136866330 in words is "one hundred thirty-six million, eight hundred sixty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 37 45 46 69 74 90 111 115 138 185 207 222 230 333 345 370 414 555 666 690 851 1035 1110 1665 1702 1787 2070 2553 3330 3574 4255 5106 5361 7659 8510 8935 10722 12765 15318 16083 17870 25530 26805 32166 38295 41101 53610 66119 76590 80415 82202 123303 132238 160830 198357 205505 246606 330595 369909 396714 411010 595071 616515 661190 739818 991785 1190142 1233030 1520737 1849545 1983570 2975355 3041474 3699090 4562211 5950710 7603685 9124422 13686633 15207370 22811055 27373266 45622110 68433165 136866330