Search a number
-
+
941391136 = 257231107181
BaseRepresentation
bin111000000111000…
…111110100100000
32102121101121212101
4320013013310200
53411444004021
6233225140144
732220456400
oct7007076440
92377347771
10941391136
11443433104
1222332a654
1312005949a
148d052800
15579a5a91
hex381c7d20

941391136 has 144 divisors (see below), whose sum is σ = 2258710272. Its totient is φ = 384652800.

The previous prime is 941391107. The next prime is 941391149. The reversal of 941391136 is 631193149.

It is a junction number, because it is equal to n+sod(n) for n = 941391095 and 941391104.

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 23 ways as a sum of consecutive naturals, for example, 5200966 + ... + 5201146.

It is an arithmetic number, because the mean of its divisors is an integer number (15685488).

Almost surely, 2941391136 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 941391136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129355136).

941391136 is an abundant number, since it is smaller than the sum of its proper divisors (1317319136).

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

941391136 is a wasteful number, since it uses less digits than its factorization.

941391136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 328 counting only the distinct ones).

The product of its digits is 17496, while the sum is 37.

The square root of 941391136 is about 30682.0979725963. The cubic root of 941391136 is about 980.0691107724.

The spelling of 941391136 in words is "nine hundred forty-one million, three hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 107 112 124 181 196 214 217 224 248 362 392 428 434 496 724 749 784 856 868 992 1267 1448 1498 1519 1568 1712 1736 2534 2896 2996 3038 3317 3424 3472 5068 5243 5611 5792 5992 6076 6634 6944 8869 10136 10486 11222 11984 12152 13268 17738 19367 20272 20972 22444 23219 23968 24304 26536 35476 38734 39277 40544 41944 44888 46438 48608 53072 70952 77468 78554 83888 89776 92876 106144 135569 141904 154936 157108 162533 167776 179552 185752 271138 274939 283808 309872 314216 325066 371504 542276 549878 600377 619744 628432 650132 743008 948983 1084552 1099756 1200754 1256864 1300264 1897966 2169104 2199512 2401508 2600528 3795932 4202639 4338208 4399024 4803016 5201056 7591864 8405278 8798048 9606032 15183728 16810556 19212064 29418473 30367456 33621112 58836946 67242224 117673892 134484448 235347784 470695568 941391136