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1214044880 = 245231135839
BaseRepresentation
bin100100001011100…
…1101101011010000
310010121102212111012
41020113031223100
54441243414010
6320245110052
742041132306
oct11027155320
93117385435
101214044880
11573329984
1229a6b8328
131646a1169
14b7348276
15718b2005
hex485cdad0

1214044880 has 80 divisors (see below), whose sum is σ = 2971952640. Its totient is φ = 460314624.

The previous prime is 1214044841. The next prime is 1214044907. The reversal of 1214044880 is 884404121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205001 + ... + 210839.

It is an arithmetic number, because the mean of its divisors is an integer number (37149408).

Almost surely, 21214044880 is an apocalyptic number.

1214044880 is a gapful number since it is divisible by the number (10) 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 1214044880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485976320).

1214044880 is an abundant number, since it is smaller than the sum of its proper divisors (1757907760).

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

1214044880 is a wasteful number, since it uses less digits than its factorization.

1214044880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5988 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 1214044880 is about 34843.1468154069. The cubic root of 1214044880 is about 1066.7883081762.

The spelling of 1214044880 in words is "one billion, two hundred fourteen million, forty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 113 115 184 226 230 368 452 460 565 904 920 1130 1808 1840 2260 2599 4520 5198 5839 9040 10396 11678 12995 20792 23356 25990 29195 41584 46712 51980 58390 93424 103960 116780 134297 207920 233560 268594 467120 537188 659807 671485 1074376 1319614 1342970 2148752 2639228 2685940 3299035 5278456 5371880 6598070 10556912 10743760 13196140 15175561 26392280 30351122 52784560 60702244 75877805 121404488 151755610 242808976 303511220 607022440 1214044880