Search a number
-
+
69146640 = 24325137701
BaseRepresentation
bin1000001111100…
…01100000010000
311211010000100200
410013301200100
5120200143030
610510015200
71466510463
oct407614020
9154100320
1069146640
1136038992
121b1a7500
1311430294
14927d2da
15610cd60
hex41f1810

69146640 has 120 divisors (see below), whose sum is σ = 234246168. Its totient is φ = 18278400.

The previous prime is 69146629. The next prime is 69146641. The reversal of 69146640 is 4664196.

69146640 is a `hidden beast` number, since 6 + 9 + 1 + 4 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20034576 + 49112064 = 4476^2 + 7008^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 69146595 and 69146604.

It is not an unprimeable number, because it can be changed into a prime (69146641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98290 + ... + 98990.

Almost surely, 269146640 is an apocalyptic number.

69146640 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 69146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117123084).

69146640 is an abundant number, since it is smaller than the sum of its proper divisors (165099528).

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

69146640 is a wasteful number, since it uses less digits than its factorization.

69146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 69146640 is about 8315.4458689838. The cubic root of 69146640 is about 410.4469446886.

The spelling of 69146640 in words is "sixty-nine million, one hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 137 144 180 240 274 360 411 548 685 701 720 822 1096 1233 1370 1402 1644 2055 2103 2192 2466 2740 2804 3288 3505 4110 4206 4932 5480 5608 6165 6309 6576 7010 8220 8412 9864 10515 10960 11216 12330 12618 14020 16440 16824 19728 21030 24660 25236 28040 31545 32880 33648 42060 49320 50472 56080 63090 84120 96037 98640 100944 126180 168240 192074 252360 288111 384148 480185 504720 576222 768296 864333 960370 1152444 1440555 1536592 1728666 1920740 2304888 2881110 3457332 3841480 4321665 4609776 5762220 6914664 7682960 8643330 11524440 13829328 17286660 23048880 34573320 69146640