Search a number
-
+
161614944 = 2532836761
BaseRepresentation
bin10011010001000…
…00110001100000
3102021002220000200
421220200301200
5312333134234
624011545200
74001463411
oct1150406140
9367086020
10161614944
1183255777
124615b200
132763785a
141766d808
15e2c5d99
hex9a20c60

161614944 has 72 divisors (see below), whose sum is σ = 465198552. Its totient is φ = 53214720.

The previous prime is 161614933. The next prime is 161614949. The reversal of 161614944 is 449416161.

161614944 is a `hidden beast` number, since 1 + 6 + 161 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1616149442 = 52238780248246272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 161614899 and 161614908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161614949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20524 + ... + 27284.

It is an arithmetic number, because the mean of its divisors is an integer number (6461091).

Almost surely, 2161614944 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 161614944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232599276).

161614944 is an abundant number, since it is smaller than the sum of its proper divisors (303583608).

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

161614944 is a wasteful number, since it uses less digits than its factorization.

161614944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860 (or 6849 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 161614944 is about 12712.7866339367. The cubic root of 161614944 is about 544.7039258222.

The spelling of 161614944 in words is "one hundred sixty-one million, six hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 6761 7968 11952 13522 20283 23904 27044 40566 54088 60849 81132 108176 121698 162264 216352 243396 324528 486792 561163 649056 973584 1122326 1683489 1947168 2244652 3366978 4489304 5050467 6733956 8978608 10100934 13467912 17957216 20201868 26935824 40403736 53871648 80807472 161614944