Search a number
-
+
136489776 = 24329313163
BaseRepresentation
bin10000010001010…
…10101100110000
3100111211101202220
420020222230300
5234420133101
621313241040
73245100243
oct1010525460
9314741686
10136489776
1170054875
1239863180
132237b6a7
14141ad25a
15beb1636
hex822ab30

136489776 has 80 divisors (see below), whose sum is σ = 376642560. Its totient is φ = 42497280.

The previous prime is 136489763. The next prime is 136489819. The reversal of 136489776 is 677984631.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41571 + ... + 44733.

It is an arithmetic number, because the mean of its divisors is an integer number (4708032).

Almost surely, 2136489776 is an apocalyptic number.

136489776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136489776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188321280).

136489776 is an abundant number, since it is smaller than the sum of its proper divisors (240152784).

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

136489776 is a wasteful number, since it uses less digits than its factorization.

136489776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3228 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The square root of 136489776 is about 11682.8838905469. The cubic root of 136489776 is about 514.8729079670.

The spelling of 136489776 in words is "one hundred thirty-six million, four hundred eighty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 116 124 174 186 232 248 348 372 464 496 696 744 899 1392 1488 1798 2697 3163 3596 5394 6326 7192 9489 10788 12652 14384 18978 21576 25304 37956 43152 50608 75912 91727 98053 151824 183454 196106 275181 294159 366908 392212 550362 588318 733816 784424 1100724 1176636 1467632 1568848 2201448 2353272 2843537 4402896 4706544 5687074 8530611 11374148 17061222 22748296 34122444 45496592 68244888 136489776