Search a number
-
+
68969160 = 233251314737
BaseRepresentation
bin1000001110001…
…10001011001000
311210202222220100
410013012023020
5120124003120
610502125400
71465141161
oct407061310
9153688810
1068969160
1135a27607
121b120860
131139a570
149234768
1560c5490
hex41c62c8

68969160 has 96 divisors (see below), whose sum is σ = 241408440. Its totient is φ = 16975872.

The previous prime is 68969143. The next prime is 68969177. The reversal of 68969160 is 6196986.

It is an interprime number because it is at equal distance from previous prime (68969143) and next prime (68969177).

It can be written as a sum of positive squares in 4 ways, for example, as 55086084 + 13883076 = 7422^2 + 3726^2 .

It is a super-2 number, since 2×689691602 = 9513490062211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2689 + ... + 12048.

Almost surely, 268969160 is an apocalyptic number.

68969160 is a gapful number since it is divisible by the number (60) 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 68969160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120704220).

68969160 is an abundant number, since it is smaller than the sum of its proper divisors (172439280).

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

68969160 is a wasteful number, since it uses less digits than its factorization.

68969160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14767 (or 14760 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 68969160 is about 8304.7673055902. The cubic root of 68969160 is about 410.0954764758.

The spelling of 68969160 in words is "sixty-eight million, nine hundred sixty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 14737 29474 44211 58948 73685 88422 117896 132633 147370 176844 191581 221055 265266 294740 353688 383162 442110 530532 574743 589480 663165 766324 884220 957905 1061064 1149486 1326330 1532648 1724229 1768440 1915810 2298972 2652660 2873715 3448458 3831620 4597944 5305320 5747430 6896916 7663240 8621145 11494860 13793832 17242290 22989720 34484580 68969160