Search a number
-
+
296085930 = 235721910601
BaseRepresentation
bin10001101001011…
…110100110101010
3202122010201112120
4101221132212222
51101244222210
645214052110
710223455200
oct2151364652
9678121476
10296085930
11142150818
12831aa036
134945a39a
142b475070
151aed9270
hex11a5e9aa

296085930 has 96 divisors (see below), whose sum is σ = 870212160. Its totient is φ = 64108800.

The previous prime is 296085919. The next prime is 296085941. The reversal of 296085930 is 39580692.

It is an interprime number because it is at equal distance from previous prime (296085919) and next prime (296085941).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22630 + ... + 33230.

It is an arithmetic number, because the mean of its divisors is an integer number (9064710).

Almost surely, 2296085930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296085930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435106080).

296085930 is an abundant number, since it is smaller than the sum of its proper divisors (574126230).

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

296085930 is a wasteful number, since it uses less digits than its factorization.

296085930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10644 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 296085930 is about 17207.1476427675. The cubic root of 296085930 is about 666.5088545904.

The spelling of 296085930 in words is "two hundred ninety-six million, eighty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 3990 4655 5586 9310 10601 13965 21202 27930 31803 53005 63606 74207 106010 148414 159015 201419 222621 318030 371035 402838 445242 519449 604257 742070 1007095 1038898 1113105 1208514 1409933 1558347 2014190 2226210 2597245 2819866 3021285 3116694 4229799 5194490 6042570 7049665 7791735 8459598 9869531 14099330 15583470 19739062 21148995 29608593 42297990 49347655 59217186 98695310 148042965 296085930