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161116824 = 233112109509
BaseRepresentation
bin10011001101001…
…11001010011000
3102020011120201210
421212213022120
5312221214244
623553143120
73664320231
oct1146471230
9366146653
10161116824
1182a45500
1245b5aaa0
13274c1bcb
1417580088
15e2284b9
hex99a7298

161116824 has 96 divisors (see below), whose sum is σ = 447678000. Its totient is φ = 48280320.

The previous prime is 161116811. The next prime is 161116841. The reversal of 161116824 is 428611161.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 161116791 and 161116800.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 316282 + ... + 316790.

Almost surely, 2161116824 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 161116824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223839000).

161116824 is an abundant number, since it is smaller than the sum of its proper divisors (286561176).

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

161116824 is a wasteful number, since it uses less digits than its factorization.

161116824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 634 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 161116824 is about 12693.1802161633. The cubic root of 161116824 is about 544.1437318449.

Adding to 161116824 its reverse (428611161), we get a palindrome (589727985).

The spelling of 161116824 in words is "one hundred sixty-one million, one hundred sixteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 121 132 218 242 264 327 363 436 484 509 654 726 872 968 1018 1199 1308 1452 1527 2036 2398 2616 2904 3054 3597 4072 4796 5599 6108 7194 9592 11198 12216 13189 14388 16797 22396 26378 28776 33594 39567 44792 52756 55481 61589 67188 79134 105512 110962 123178 134376 158268 166443 184767 221924 246356 316536 332886 369534 443848 492712 610291 665772 739068 1220582 1331544 1478136 1830873 2441164 3661746 4882328 6713201 7323492 13426402 14646984 20139603 26852804 40279206 53705608 80558412 161116824