Search a number
-
+
131974656 = 2931173107
BaseRepresentation
bin1111101110111…
…00011000000000
3100012100000012020
413313130120000
5232241142111
621032401440
73161523522
oct767343000
9305300166
10131974656
1168550570
1238246280
132145a518
1413755a12
15b8bd906
hex7ddc600

131974656 has 160 divisors (see below), whose sum is σ = 392439168. Its totient is φ = 39075840.

The previous prime is 131974651. The next prime is 131974663. The reversal of 131974656 is 656479131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131974651) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1233355 + ... + 1233461.

Almost surely, 2131974656 is an apocalyptic number.

131974656 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 131974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196219584).

131974656 is an abundant number, since it is smaller than the sum of its proper divisors (260464512).

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

131974656 is a wasteful number, since it uses less digits than its factorization.

131974656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 131974656 is about 11488.0222841009. The cubic root of 131974656 is about 509.1317483626.

The spelling of 131974656 in words is "one hundred thirty-one million, nine hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 73 88 96 107 128 132 146 176 192 214 219 256 264 292 321 352 384 428 438 512 528 584 642 704 768 803 856 876 1056 1168 1177 1284 1408 1536 1606 1712 1752 2112 2336 2354 2409 2568 2816 3212 3424 3504 3531 4224 4672 4708 4818 5136 5632 6424 6848 7008 7062 7811 8448 9344 9416 9636 10272 12848 13696 14016 14124 15622 16896 18688 18832 19272 20544 23433 25696 27392 28032 28248 31244 37376 37664 38544 41088 46866 51392 54784 56064 56496 62488 75328 77088 82176 85921 93732 102784 112128 112992 124976 150656 154176 164352 171842 187464 205568 225984 249952 257763 301312 308352 343684 374928 411136 451968 499904 515526 602624 616704 687368 749856 903936 999808 1031052 1233408 1374736 1499712 1807872 1999616 2062104 2749472 2999424 3999232 4124208 5498944 5998848 8248416 10997888 11997696 16496832 21995776 32993664 43991552 65987328 131974656