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161401128 = 233717311823
BaseRepresentation
bin10011001111011…
…00100100101000
3102020201000201120
421213230210220
5312304314003
624003215240
73666613140
oct1147544450
9366630646
10161401128
118311a069
1246077520
1327591435
1417615920
15e282853
hex99ec928

161401128 has 128 divisors (see below), whose sum is σ = 504299520. Its totient is φ = 41978880.

The previous prime is 161401117. The next prime is 161401129. The reversal of 161401128 is 821104161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 161401098 and 161401107.

It is not an unprimeable number, because it can be changed into a prime (161401129) by changing a digit.

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, 87625 + ... + 89447.

It is an arithmetic number, because the mean of its divisors is an integer number (3939840).

Almost surely, 2161401128 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 161401128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252149760).

161401128 is an abundant number, since it is smaller than the sum of its proper divisors (342898392).

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

161401128 is a wasteful number, since it uses less digits than its factorization.

161401128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 161401128 is about 12704.3743647611. The cubic root of 161401128 is about 544.4636060203.

Adding to 161401128 its reverse (821104161), we get a palindrome (982505289).

The spelling of 161401128 in words is "one hundred sixty-one million, four hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 31 34 42 51 56 62 68 84 93 102 119 124 136 168 186 204 217 238 248 357 372 408 434 476 527 651 714 744 868 952 1054 1302 1428 1581 1736 1823 2108 2604 2856 3162 3646 3689 4216 5208 5469 6324 7292 7378 10938 11067 12648 12761 14584 14756 21876 22134 25522 29512 30991 38283 43752 44268 51044 56513 61982 76566 88536 92973 102088 113026 123964 153132 169539 185946 216937 226052 247928 306264 339078 371892 395591 433874 452104 650811 678156 743784 791182 867748 960721 1186773 1301622 1356312 1582364 1735496 1921442 2373546 2603244 2882163 3164728 3842884 4747092 5206488 5764326 6725047 7685768 9494184 11528652 13450094 20175141 23057304 26900188 40350282 53800376 80700564 161401128