Search a number
-
+
161121690 = 23352632269
BaseRepresentation
bin10011001101010…
…00010110011010
3102020011211102000
421212220112122
5312221343230
623553221430
73664340352
oct1146502632
9366154360
10161121690
1182a49124
1245b61876
13274c41a2
1417581b62
15e229b60
hex99a859a

161121690 has 64 divisors (see below), whose sum is σ = 431481600. Its totient is φ = 42783552.

The previous prime is 161121683. The next prime is 161121703. The reversal of 161121690 is 96121161.

It is a super-2 number, since 2×1611216902 = 51920397976912200, which contains 22 as substring.

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

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, 69876 + ... + 72144.

It is an arithmetic number, because the mean of its divisors is an integer number (6741900).

Almost surely, 2161121690 is an apocalyptic number.

161121690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161121690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215740800).

161121690 is an abundant number, since it is smaller than the sum of its proper divisors (270359910).

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

161121690 is a wasteful number, since it uses less digits than its factorization.

161121690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 161121690 is about 12693.3718924484. The cubic root of 161121690 is about 544.1492098095.

The spelling of 161121690 in words is "one hundred sixty-one million, one hundred twenty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 263 270 526 789 1315 1578 2269 2367 2630 3945 4538 4734 6807 7101 7890 11345 11835 13614 14202 20421 22690 23670 34035 35505 40842 61263 68070 71010 102105 122526 204210 306315 596747 612630 1193494 1790241 2983735 3580482 5370723 5967470 8951205 10741446 16112169 17902410 26853615 32224338 53707230 80560845 161121690