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161140896 = 25327671193
BaseRepresentation
bin10011001101011…
…01000010100000
3102020012210202100
421212231002200
5312223002041
623553450400
73664450350
oct1146550240
9366183670
10161140896
1182a615a4
1245b70a00
13274ccb57
1417588b60
15e2306b6
hex99ad0a0

161140896 has 144 divisors (see below), whose sum is σ = 531969984. Its totient is φ = 45315072.

The previous prime is 161140891. The next prime is 161140933. The reversal of 161140896 is 698041161.

It is a happy number.

161140896 is a `hidden beast` number, since 161 + 1 + 408 + 96 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 161140896.

It is not an unprimeable number, because it can be changed into a prime (161140891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134476 + ... + 135668.

It is an arithmetic number, because the mean of its divisors is an integer number (3694236).

Almost surely, 2161140896 is an apocalyptic number.

161140896 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 161140896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265984992).

161140896 is an abundant number, since it is smaller than the sum of its proper divisors (370829088).

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

161140896 is a wasteful number, since it uses less digits than its factorization.

161140896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 161140896 is about 12694.1284064720. The cubic root of 161140896 is about 544.1708301440.

The spelling of 161140896 in words is "one hundred sixty-one million, one hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 67 72 84 96 112 126 134 144 168 201 224 252 268 288 336 402 469 504 536 603 672 804 938 1008 1072 1193 1206 1407 1608 1876 2016 2144 2386 2412 2814 3216 3579 3752 4221 4772 4824 5628 6432 7158 7504 8351 8442 9544 9648 10737 11256 14316 15008 16702 16884 19088 19296 21474 22512 25053 28632 33404 33768 38176 42948 45024 50106 57264 66808 67536 75159 79931 85896 100212 114528 133616 135072 150318 159862 171792 200424 239793 267232 300636 319724 343584 400848 479586 559517 601272 639448 719379 801696 959172 1119034 1202544 1278896 1438758 1678551 1918344 2238068 2405088 2557792 2877516 3357102 3836688 4476136 5035653 5755032 6714204 7673376 8952272 10071306 11510064 13428408 17904544 20142612 23020128 26856816 40285224 53713632 80570448 161140896