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136033416 = 23324761659
BaseRepresentation
bin10000001101110…
…11010010001000
3100110222012202200
420012323102020
5234311032131
621255400200
73241156611
oct1006732210
9313865680
10136033416
116a872a12
1239683060
132224ba5c
14140d0c08
15be212e6
hex81bb488

136033416 has 96 divisors (see below), whose sum is σ = 383011200. Its totient is φ = 43585920.

The previous prime is 136033399. The next prime is 136033421. The reversal of 136033416 is 614330631.

136033416 is a `hidden beast` number, since 13 + 603 + 3 + 41 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 136033416.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 206095 + ... + 206753.

It is an arithmetic number, because the mean of its divisors is an integer number (3989700).

Almost surely, 2136033416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136033416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191505600).

136033416 is an abundant number, since it is smaller than the sum of its proper divisors (246977784).

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

136033416 is a wasteful number, since it uses less digits than its factorization.

136033416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 136033416 is about 11663.3364008760. The cubic root of 136033416 is about 514.2984332833.

The spelling of 136033416 in words is "one hundred thirty-six million, thirty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 61 72 94 122 141 183 188 244 282 366 376 423 488 549 564 659 732 846 1098 1128 1318 1464 1692 1977 2196 2636 2867 3384 3954 4392 5272 5734 5931 7908 8601 11468 11862 15816 17202 22936 23724 25803 30973 34404 40199 47448 51606 61946 68808 80398 92919 103212 120597 123892 160796 185838 206424 241194 247784 278757 321592 361791 371676 482388 557514 723582 743352 964776 1115028 1447164 1889353 2230056 2894328 3778706 5668059 7557412 11336118 15114824 17004177 22672236 34008354 45344472 68016708 136033416