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161540316 = 223272347593
BaseRepresentation
bin10011010000011…
…10100011011100
3102020222002122200
421220032203130
5312323242231
624010211500
74001033010
oct1150164334
9366862580
10161540316
11832046a3
1246123b90
132760c8b2
1417650540
15e2adbe6
hex9a0e8dc

161540316 has 144 divisors (see below), whose sum is σ = 498161664. Its totient is φ = 43135488.

The previous prime is 161540297. The next prime is 161540329. The reversal of 161540316 is 613045161.

161540316 is a `hidden beast` number, since 1 + 615 + 40 + 3 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 161540316.

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 47 ways as a sum of consecutive naturals, for example, 272116 + ... + 272708.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 2161540316 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 161540316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249080832).

161540316 is an abundant number, since it is smaller than the sum of its proper divisors (336621348).

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

161540316 is a wasteful number, since it uses less digits than its factorization.

161540316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 161540316 is about 12709.8511399623. The cubic root of 161540316 is about 544.6200713177.

Adding to 161540316 its reverse (613045161), we get a palindrome (774585477).

The spelling of 161540316 in words is "one hundred sixty-one million, five hundred forty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 47 63 69 84 92 94 126 138 141 161 188 207 252 276 282 322 329 414 423 483 564 593 644 658 828 846 966 987 1081 1186 1316 1449 1692 1779 1932 1974 2162 2372 2898 2961 3243 3558 3948 4151 4324 5337 5796 5922 6486 7116 7567 8302 9729 10674 11844 12453 12972 13639 15134 16604 19458 21348 22701 24906 27278 27871 30268 37359 38916 40917 45402 49812 54556 55742 68103 74718 81834 83613 90804 95473 111484 122751 136206 149436 163668 167226 190946 195097 245502 250839 272412 286419 334452 381892 390194 491004 501678 572838 585291 641033 780388 859257 1003356 1145676 1170582 1282066 1718514 1755873 1923099 2341164 2564132 3437028 3511746 3846198 4487231 5769297 7023492 7692396 8974462 11538594 13461693 17948924 23077188 26923386 40385079 53846772 80770158 161540316