Search a number
-
+
246998880 = 25325433989
BaseRepresentation
bin11101011100011…
…10011101100000
3122012202211202200
432232032131200
51001212431010
640302013200
76056312232
oct1656163540
9565684680
10246998880
11117473a07
126a877200
133c2316ab
1424b38252
1516a3ecc0
hexeb8e760

246998880 has 144 divisors (see below), whose sum is σ = 862701840. Its totient is φ = 64318464.

The previous prime is 246998849. The next prime is 246998881. The reversal of 246998880 is 88899642.

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

It is a super-2 number, since 2×2469988802 = 122016893442508800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246998881) 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, 59926 + ... + 63914.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985).

Almost surely, 2246998880 is an apocalyptic number.

246998880 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 246998880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431350920).

246998880 is an abundant number, since it is smaller than the sum of its proper divisors (615702960).

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

246998880 is a wasteful number, since it uses less digits than its factorization.

246998880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 246998880 is about 15716.1980135146. The cubic root of 246998880 is about 627.4295873966.

The spelling of 246998880 in words is "two hundred forty-six million, nine hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 344 360 387 430 480 516 645 688 720 774 860 1032 1290 1376 1440 1548 1720 1935 2064 2580 3096 3440 3870 3989 4128 5160 6192 6880 7740 7978 10320 11967 12384 15480 15956 19945 20640 23934 30960 31912 35901 39890 47868 59835 61920 63824 71802 79780 95736 119670 127648 143604 159560 171527 179505 191472 239340 287208 319120 343054 359010 382944 478680 514581 574416 638240 686108 718020 857635 957360 1029162 1148832 1372216 1436040 1543743 1715270 1914720 2058324 2572905 2744432 2872080 3087486 3430540 4116648 5145810 5488864 5744160 6174972 6861080 7718715 8233296 10291620 12349944 13722160 15437430 16466592 20583240 24699888 27444320 30874860 41166480 49399776 61749720 82332960 123499440 246998880