Search a number
-
+
95768136 = 23332337521
BaseRepresentation
bin1011011010101…
…00111001001000
320200012112012000
411231110321020
5144004040021
613300351000
72242005252
oct555247110
9220175160
1095768136
114a071022
12280a5460
1316ac1549
14ca0ccd2
15861ab26
hex5b54e48

95768136 has 128 divisors (see below), whose sum is σ = 285638400. Its totient is φ = 29652480.

The previous prime is 95768131. The next prime is 95768147. The reversal of 95768136 is 63186759.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 95768091 and 95768100.

It is not an unprimeable number, because it can be changed into a prime (95768131) 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 31 ways as a sum of consecutive naturals, for example, 183556 + ... + 184076.

It is an arithmetic number, because the mean of its divisors is an integer number (2231550).

Almost surely, 295768136 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 95768136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142819200).

95768136 is an abundant number, since it is smaller than the sum of its proper divisors (189870264).

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

95768136 is a wasteful number, since it uses less digits than its factorization.

95768136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 586 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 95768136 is about 9786.1195578227. The cubic root of 95768136 is about 457.5167636964.

The spelling of 95768136 in words is "ninety-five million, seven hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 37 46 54 69 72 74 92 108 111 138 148 184 207 216 222 276 296 333 414 444 521 552 621 666 828 851 888 999 1042 1242 1332 1563 1656 1702 1998 2084 2484 2553 2664 3126 3404 3996 4168 4689 4968 5106 6252 6808 7659 7992 9378 10212 11983 12504 14067 15318 18756 19277 20424 22977 23966 28134 30636 35949 37512 38554 45954 47932 56268 57831 61272 71898 77108 91908 95864 107847 112536 115662 143796 154216 173493 183816 215694 231324 287592 323541 346986 431388 443371 462648 520479 647082 693972 862776 886742 1040958 1294164 1330113 1387944 1773484 2081916 2588328 2660226 3546968 3990339 4163832 5320452 7980678 10640904 11971017 15961356 23942034 31922712 47884068 95768136