Search a number
-
+
161359744 = 2772131979
BaseRepresentation
bin10011001111000…
…10011110000000
3102020121220221211
421213202132000
5312302002434
624002255504
73666351400
oct1147423600
9366556854
10161359744
11830a0a67
1246057594
1327578650
1417604800
15e275464
hex99e2780

161359744 has 96 divisors (see below), whose sum is σ = 402910200. Its totient is φ = 63802368.

The previous prime is 161359727. The next prime is 161359753. The reversal of 161359744 is 447953161.

It is a junction number, because it is equal to n+sod(n) for n = 161359697 and 161359706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80547 + ... + 82525.

Almost surely, 2161359744 is an apocalyptic number.

161359744 is a gapful number since it is divisible by the number (14) 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 161359744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201455100).

161359744 is an abundant number, since it is smaller than the sum of its proper divisors (241550456).

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

161359744 is a wasteful number, since it uses less digits than its factorization.

161359744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2001 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 161359744 is about 12702.7455300026. The cubic root of 161359744 is about 544.4170677088.

The spelling of 161359744 in words is "one hundred sixty-one million, three hundred fifty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 728 784 832 896 1274 1456 1568 1664 1979 2548 2912 3136 3958 5096 5824 6272 7916 10192 11648 13853 15832 20384 25727 27706 31664 40768 51454 55412 63328 81536 96971 102908 110824 126656 180089 193942 205816 221648 253312 360178 387884 411632 443296 720356 775768 823264 886592 1260623 1440712 1551536 1646528 1773184 2521246 2881424 3103072 3293056 5042492 5762848 6206144 10084984 11525696 12412288 20169968 23051392 40339936 80679872 161359744