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161105616 = 24327236949
BaseRepresentation
bin10011001101001…
…00011011010000
3102020011000100200
421212210123100
5312220334431
623553015200
73664242450
oct1146443320
9366130320
10161105616
1182a38041
1245b54500
13274b9a89
1417579d60
15e224ee6
hex99a46d0

161105616 has 120 divisors (see below), whose sum is σ = 537763200. Its totient is φ = 44022528.

The previous prime is 161105591. The next prime is 161105627. The reversal of 161105616 is 616501161.

It is a self number, because there is not a number n which added to its sum of digits gives 161105616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19710 + ... + 26658.

It is an arithmetic number, because the mean of its divisors is an integer number (4481360).

Almost surely, 2161105616 is an apocalyptic number.

161105616 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 161105616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268881600).

161105616 is an abundant number, since it is smaller than the sum of its proper divisors (376657584).

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

161105616 is a wasteful number, since it uses less digits than its factorization.

161105616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 161105616 is about 12692.7387115626. The cubic root of 161105616 is about 544.1311138695.

Adding to 161105616 its reverse (616501161), we get a palindrome (777606777).

The spelling of 161105616 in words is "one hundred sixty-one million, one hundred five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 6949 7728 11592 13898 20847 23184 27796 41694 48643 55592 62541 83388 97286 111184 125082 145929 159827 166776 194572 250164 291858 319654 333552 389144 437787 479481 500328 583716 639308 778288 875574 958962 1000656 1118789 1167432 1278616 1438443 1751148 1917924 2237578 2334864 2557232 2876886 3356367 3502296 3835848 4475156 5753772 6712734 7004592 7671696 8950312 10069101 11507544 13425468 17900624 20138202 23015088 26850936 40276404 53701872 80552808 161105616