Search a number
-
+
161242704 = 2433771751
BaseRepresentation
bin10011001110001…
…01111001010000
3102020101222102000
421213011321100
5312234231304
623555554000
73665353230
oct1147057120
9366358360
10161242704
1183021037
1245bbb900
13275372ac
14175b3cc0
15e250939
hex99c5e50

161242704 has 160 divisors (see below), whose sum is σ = 537108480. Its totient is φ = 45360000.

The previous prime is 161242681. The next prime is 161242723. The reversal of 161242704 is 407242161.

161242704 is a `hidden beast` number, since 1 + 612 + 42 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 214329 + ... + 215079.

It is an arithmetic number, because the mean of its divisors is an integer number (3356928).

Almost surely, 2161242704 is an apocalyptic number.

161242704 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 161242704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268554240).

161242704 is an abundant number, since it is smaller than the sum of its proper divisors (375865776).

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

161242704 is a wasteful number, since it uses less digits than its factorization.

161242704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 161242704 is about 12698.1378162312. The cubic root of 161242704 is about 544.2854074735.

Adding to 161242704 its reverse (407242161), we get a palindrome (568484865).

The spelling of 161242704 in words is "one hundred sixty-one million, two hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 71 72 84 108 112 126 142 144 168 189 213 216 252 284 336 378 426 432 497 504 568 639 751 756 852 994 1008 1136 1278 1491 1502 1512 1704 1917 1988 2253 2556 2982 3004 3024 3408 3834 3976 4473 4506 5112 5257 5964 6008 6759 7668 7952 8946 9012 10224 10514 11928 12016 13419 13518 15336 15771 17892 18024 20277 21028 23856 26838 27036 30672 31542 35784 36048 40554 42056 47313 53321 53676 54072 63084 71568 81108 84112 94626 106642 107352 108144 126168 141939 159963 162216 189252 213284 214704 252336 283878 319926 324432 373247 378504 426568 479889 567756 639852 746494 757008 853136 959778 1119741 1135512 1279704 1439667 1492988 1919556 2239482 2271024 2559408 2879334 2985976 3359223 3839112 4478964 5758668 5971952 6718446 7678224 8957928 10077669 11517336 13436892 17915856 20155338 23034672 26873784 40310676 53747568 80621352 161242704