Search a number
-
+
161961696 = 253213181239
BaseRepresentation
bin10011010011101…
…01011011100000
3102021202111200100
421221311123200
5312430233241
624023222400
74004436351
oct1151653340
9367674610
10161961696
1183472246
12462a7a00
1327729630
141771dd28
15e3439b6
hex9a756e0

161961696 has 144 divisors (see below), whose sum is σ = 500834880. Its totient is φ = 49351680.

The previous prime is 161961689. The next prime is 161961739. The reversal of 161961696 is 696169161.

161961696 is a `hidden beast` number, since 16 + 19 + 616 + 9 + 6 = 666.

161961696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 677545 + ... + 677783.

It is an arithmetic number, because the mean of its divisors is an integer number (3478020).

Almost surely, 2161961696 is an apocalyptic number.

161961696 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 161961696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250417440).

161961696 is an abundant number, since it is smaller than the sum of its proper divisors (338873184).

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

161961696 is a wasteful number, since it uses less digits than its factorization.

161961696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 161961696 is about 12726.4172491711. The cubic root of 161961696 is about 545.0932096560.

The spelling of 161961696 in words is "one hundred sixty-one million, nine hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 181 208 234 239 288 312 362 416 468 478 543 624 717 724 936 956 1086 1248 1434 1448 1629 1872 1912 2151 2172 2353 2868 2896 3107 3258 3744 3824 4302 4344 4706 5736 5792 6214 6516 7059 7648 8604 8688 9321 9412 11472 12428 13032 14118 17208 17376 18642 18824 21177 22944 24856 26064 27963 28236 34416 37284 37648 42354 43259 49712 52128 55926 56472 68832 74568 75296 84708 86518 99424 111852 112944 129777 149136 169416 173036 223704 225888 259554 298272 338832 346072 389331 447408 519108 562367 677664 692144 778662 894816 1038216 1124734 1384288 1557324 1687101 2076432 2249468 3114648 3374202 4152864 4498936 5061303 6229296 6748404 8997872 10122606 12458592 13496808 17995744 20245212 26993616 40490424 53987232 80980848 161961696