Search a number
-
+
245479680 = 283357103
BaseRepresentation
bin11101010000110…
…11100100000000
3122002220122211000
432220123210000
51000320322210
640205252000
76040354125
oct1650334400
9562818730
10245479680
11116626576
126a264000
133bb1c064
142486074c
151683eac0
hexea1b900

245479680 has 144 divisors (see below), whose sum is σ = 871234560. Its totient is φ = 65452032.

The previous prime is 245479679. The next prime is 245479681. The reversal of 245479680 is 86974542.

It is a happy number.

245479680 is a `hidden beast` number, since 24 + 547 + 9 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (245479679) and next prime (245479681).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (245479681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31009 + ... + 38111.

It is an arithmetic number, because the mean of its divisors is an integer number (6050240).

Almost surely, 2245479680 is an apocalyptic number.

245479680 is a gapful number since it is divisible by the number (20) 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 245479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435617280).

245479680 is an abundant number, since it is smaller than the sum of its proper divisors (625754880).

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

245479680 is an equidigital number, since it uses as much as digits as its factorization.

245479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 245479680 is about 15667.7911653175. The cubic root of 245479680 is about 626.1405775331.

The spelling of 245479680 in words is "two hundred forty-five million, four hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 7103 8640 11520 14206 17280 21309 28412 34560 35515 42618 56824 63927 71030 85236 106545 113648 127854 142060 170472 191781 213090 227296 255708 284120 319635 340944 383562 426180 454592 511416 568240 639270 681888 767124 852360 909184 958905 1022832 1136480 1278540 1363776 1534248 1704720 1818368 1917810 2045664 2272960 2557080 2727552 3068496 3409440 3835620 4091328 4545920 5114160 5455104 6136992 6818880 7671240 8182656 9091840 10228320 12273984 13637760 15342480 16365312 20456640 24547968 27275520 30684960 40913280 49095936 61369920 81826560 122739840 245479680