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161826240 = 26351011669
BaseRepresentation
bin10011010010101…
…00010111000000
3102021111121212110
421221110113000
5312411414430
624020255320
74003333422
oct1151242700
9367447773
10161826240
118338a4a4
1246241540
13276aca94
14176c6812
15e3187b0
hex9a545c0

161826240 has 112 divisors (see below), whose sum is σ = 519196320. Its totient is φ = 42700800.

The previous prime is 161826233. The next prime is 161826251. The reversal of 161826240 is 42628161.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 161826198 and 161826207.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 96126 + ... + 97794.

Almost surely, 2161826240 is an apocalyptic number.

161826240 is a gapful number since it is divisible by the number (10) 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 161826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259598160).

161826240 is an abundant number, since it is smaller than the sum of its proper divisors (357370080).

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

161826240 is a wasteful number, since it uses less digits than its factorization.

161826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 161826240 is about 12721.0942925520. The cubic root of 161826240 is about 544.9412051155.

It can be divided in two parts, 16182 and 6240, that added together give a palindrome (22422).

The spelling of 161826240 in words is "one hundred sixty-one million, eight hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 480 505 606 808 960 1010 1212 1515 1616 1669 2020 2424 3030 3232 3338 4040 4848 5007 6060 6464 6676 8080 8345 9696 10014 12120 13352 16160 16690 19392 20028 24240 25035 26704 32320 33380 40056 48480 50070 53408 66760 80112 96960 100140 106816 133520 160224 168569 200280 267040 320448 337138 400560 505707 534080 674276 801120 842845 1011414 1348552 1602240 1685690 2022828 2528535 2697104 3371380 4045656 5057070 5394208 6742760 8091312 10114140 10788416 13485520 16182624 20228280 26971040 32365248 40456560 53942080 80913120 161826240