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1214813280 = 253511322397
BaseRepresentation
bin100100001101000…
…1001010001100000
310010122212220112110
41020122021101200
54441443011110
6320313355320
742050512452
oct11032112140
93118786473
101214813280
1157380421a
1229aa08b40
131648acb35
14b74a82d2
15719b4a20
hex48689460

1214813280 has 96 divisors (see below), whose sum is σ = 3860698464. Its totient is φ = 321069056.

The previous prime is 1214813273. The next prime is 1214813309. The reversal of 1214813280 is 823184121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 43042 + ... + 65438.

It is an arithmetic number, because the mean of its divisors is an integer number (40215609).

Almost surely, 21214813280 is an apocalyptic number.

1214813280 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 1214813280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930349232).

1214813280 is an abundant number, since it is smaller than the sum of its proper divisors (2645885184).

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

1214813280 is a wasteful number, since it uses less digits than its factorization.

1214813280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22528 (or 22520 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1214813280 is about 34854.1716298064. The cubic root of 1214813280 is about 1067.0133265616.

The spelling of 1214813280 in words is "one billion, two hundred fourteen million, eight hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2260 2712 3390 3616 4520 5424 6780 9040 10848 13560 18080 22397 27120 44794 54240 67191 89588 111985 134382 179176 223970 268764 335955 358352 447940 537528 671910 716704 895880 1075056 1343820 1791760 2150112 2530861 2687640 3583520 5061722 5375280 7592583 10123444 10750560 12654305 15185166 20246888 25308610 30370332 37962915 40493776 50617220 60740664 75925830 80987552 101234440 121481328 151851660 202468880 242962656 303703320 404937760 607406640 1214813280